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Finding the Third Proportional to 107,534 and 233,932

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Solution

The third proportional to 107,534 and 233,932 is: 508,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,534 : 233,932 = 233,932 : x
  2. Step 2: Convert to fraction form
    107,534/233,932 = 233,932/x
  3. Step 3: Cross multiply
    107,534x = 233,932 × 233,932
  4. Step 4: Simplify right side
    107,534x = 54,724,180,624
  5. Step 5: Solve for x
    x = 54,724,180,624/107,534
  6. Step 6: Final answer
    x = 508,901.19

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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.