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Finding the Third Proportional to 243,148.92 and 528,346.13

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Solution

The third proportional to 243,148.92 and 528,346.13 is: 1,148,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,148.92 : 528,346.13 = 528,346.13 : x
  2. Step 2: Convert to fraction form
    243,148.92/528,346.13 = 528,346.13/x
  3. Step 3: Cross multiply
    243,148.92x = 528,346.13 × 528,346.13
  4. Step 4: Simplify right side
    243,148.92x = 279,149,627,802.52
  5. Step 5: Solve for x
    x = 279,149,627,802.52/243,148.92
  6. Step 6: Final answer
    x = 1,148,060.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.