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Finding the Third Proportional to 157,684 and 235,908

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Solution

The third proportional to 157,684 and 235,908 is: 352,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,684 : 235,908 = 235,908 : x
  2. Step 2: Convert to fraction form
    157,684/235,908 = 235,908/x
  3. Step 3: Cross multiply
    157,684x = 235,908 × 235,908
  4. Step 4: Simplify right side
    157,684x = 55,652,584,464
  5. Step 5: Solve for x
    x = 55,652,584,464/157,684
  6. Step 6: Final answer
    x = 352,937.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.