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Finding the Third Proportional to 243,106 and 525,092

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Solution

The third proportional to 243,106 and 525,092 is: 1,134,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,106 : 525,092 = 525,092 : x
  2. Step 2: Convert to fraction form
    243,106/525,092 = 525,092/x
  3. Step 3: Cross multiply
    243,106x = 525,092 × 525,092
  4. Step 4: Simplify right side
    243,106x = 275,721,608,464
  5. Step 5: Solve for x
    x = 275,721,608,464/243,106
  6. Step 6: Final answer
    x = 1,134,162.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.