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Finding the Third Proportional to 158,778 and 252,747

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Solution

The third proportional to 158,778 and 252,747 is: 402,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,778 : 252,747 = 252,747 : x
  2. Step 2: Convert to fraction form
    158,778/252,747 = 252,747/x
  3. Step 3: Cross multiply
    158,778x = 252,747 × 252,747
  4. Step 4: Simplify right side
    158,778x = 63,881,046,009
  5. Step 5: Solve for x
    x = 63,881,046,009/158,778
  6. Step 6: Final answer
    x = 402,329.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.