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Finding the Third Proportional to 158,789 and 252,764

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Solution

The third proportional to 158,789 and 252,764 is: 402,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,789 : 252,764 = 252,764 : x
  2. Step 2: Convert to fraction form
    158,789/252,764 = 252,764/x
  3. Step 3: Cross multiply
    158,789x = 252,764 × 252,764
  4. Step 4: Simplify right side
    158,789x = 63,889,639,696
  5. Step 5: Solve for x
    x = 63,889,639,696/158,789
  6. Step 6: Final answer
    x = 402,355.58

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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.