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Finding the Third Proportional to 165,681 and 262,764

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Solution

The third proportional to 165,681 and 262,764 is: 416,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,681 : 262,764 = 262,764 : x
  2. Step 2: Convert to fraction form
    165,681/262,764 = 262,764/x
  3. Step 3: Cross multiply
    165,681x = 262,764 × 262,764
  4. Step 4: Simplify right side
    165,681x = 69,044,919,696
  5. Step 5: Solve for x
    x = 69,044,919,696/165,681
  6. Step 6: Final answer
    x = 416,734.08

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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.