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Finding the Third Proportional to 243,346.50 and 524,135.25

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Solution

The third proportional to 243,346.50 and 524,135.25 is: 1,128,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,346.50 : 524,135.25 = 524,135.25 : x
  2. Step 2: Convert to fraction form
    243,346.50/524,135.25 = 524,135.25/x
  3. Step 3: Cross multiply
    243,346.50x = 524,135.25 × 524,135.25
  4. Step 4: Simplify right side
    243,346.50x = 274,717,760,292.56
  5. Step 5: Solve for x
    x = 274,717,760,292.56/243,346.50
  6. Step 6: Final answer
    x = 1,128,916.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.