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Finding the Third Proportional to 160,020 and 257,764

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Solution

The third proportional to 160,020 and 257,764 is: 415,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,020 : 257,764 = 257,764 : x
  2. Step 2: Convert to fraction form
    160,020/257,764 = 257,764/x
  3. Step 3: Cross multiply
    160,020x = 257,764 × 257,764
  4. Step 4: Simplify right side
    160,020x = 66,442,279,696
  5. Step 5: Solve for x
    x = 66,442,279,696/160,020
  6. Step 6: Final answer
    x = 415,212.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.