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Finding the Third Proportional to 107,535 and 233,934

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Solution

The third proportional to 107,535 and 233,934 is: 508,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,535 : 233,934 = 233,934 : x
  2. Step 2: Convert to fraction form
    107,535/233,934 = 233,934/x
  3. Step 3: Cross multiply
    107,535x = 233,934 × 233,934
  4. Step 4: Simplify right side
    107,535x = 54,725,116,356
  5. Step 5: Solve for x
    x = 54,725,116,356/107,535
  6. Step 6: Final answer
    x = 508,905.16

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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.