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Finding the Third Proportional to 243,693.56 and 534,468.38

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Solution

The third proportional to 243,693.56 and 534,468.38 is: 1,172,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,693.56 : 534,468.38 = 534,468.38 : x
  2. Step 2: Convert to fraction form
    243,693.56/534,468.38 = 534,468.38/x
  3. Step 3: Cross multiply
    243,693.56x = 534,468.38 × 534,468.38
  4. Step 4: Simplify right side
    243,693.56x = 285,656,443,875.14
  5. Step 5: Solve for x
    x = 285,656,443,875.14/243,693.56
  6. Step 6: Final answer
    x = 1,172,195.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.