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Finding the Third Proportional to 114,681 and 243,294

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Solution

The third proportional to 114,681 and 243,294 is: 516,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,681 : 243,294 = 243,294 : x
  2. Step 2: Convert to fraction form
    114,681/243,294 = 243,294/x
  3. Step 3: Cross multiply
    114,681x = 243,294 × 243,294
  4. Step 4: Simplify right side
    114,681x = 59,191,970,436
  5. Step 5: Solve for x
    x = 59,191,970,436/114,681
  6. Step 6: Final answer
    x = 516,144.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.