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Finding the Third Proportional to 77,597 and 165,370

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Solution

The third proportional to 77,597 and 165,370 is: 352,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,597 : 165,370 = 165,370 : x
  2. Step 2: Convert to fraction form
    77,597/165,370 = 165,370/x
  3. Step 3: Cross multiply
    77,597x = 165,370 × 165,370
  4. Step 4: Simplify right side
    77,597x = 27,347,236,900
  5. Step 5: Solve for x
    x = 27,347,236,900/77,597
  6. Step 6: Final answer
    x = 352,426.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.