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Finding the Third Proportional to 150,681 and 233,464

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Solution

The third proportional to 150,681 and 233,464 is: 361,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681 : 233,464 = 233,464 : x
  2. Step 2: Convert to fraction form
    150,681/233,464 = 233,464/x
  3. Step 3: Cross multiply
    150,681x = 233,464 × 233,464
  4. Step 4: Simplify right side
    150,681x = 54,505,439,296
  5. Step 5: Solve for x
    x = 54,505,439,296/150,681
  6. Step 6: Final answer
    x = 361,727.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.