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Finding the Third Proportional to 107,534 and 233,931

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Solution

The third proportional to 107,534 and 233,931 is: 508,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,534 : 233,931 = 233,931 : x
  2. Step 2: Convert to fraction form
    107,534/233,931 = 233,931/x
  3. Step 3: Cross multiply
    107,534x = 233,931 × 233,931
  4. Step 4: Simplify right side
    107,534x = 54,723,712,761
  5. Step 5: Solve for x
    x = 54,723,712,761/107,534
  6. Step 6: Final answer
    x = 508,896.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.