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Finding the Third Proportional to 234,963 and 357,952

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Solution

The third proportional to 234,963 and 357,952 is: 545,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,963 : 357,952 = 357,952 : x
  2. Step 2: Convert to fraction form
    234,963/357,952 = 357,952/x
  3. Step 3: Cross multiply
    234,963x = 357,952 × 357,952
  4. Step 4: Simplify right side
    234,963x = 128,129,634,304
  5. Step 5: Solve for x
    x = 128,129,634,304/234,963
  6. Step 6: Final answer
    x = 545,318.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.