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Finding the Third Proportional to 169,016 and 358,764

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Solution

The third proportional to 169,016 and 358,764 is: 761,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,016 : 358,764 = 358,764 : x
  2. Step 2: Convert to fraction form
    169,016/358,764 = 358,764/x
  3. Step 3: Cross multiply
    169,016x = 358,764 × 358,764
  4. Step 4: Simplify right side
    169,016x = 128,711,607,696
  5. Step 5: Solve for x
    x = 128,711,607,696/169,016
  6. Step 6: Final answer
    x = 761,535.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.