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Finding the Third Proportional to 165,156 and 253,060

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Solution

The third proportional to 165,156 and 253,060 is: 387,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,156 : 253,060 = 253,060 : x
  2. Step 2: Convert to fraction form
    165,156/253,060 = 253,060/x
  3. Step 3: Cross multiply
    165,156x = 253,060 × 253,060
  4. Step 4: Simplify right side
    165,156x = 64,039,363,600
  5. Step 5: Solve for x
    x = 64,039,363,600/165,156
  6. Step 6: Final answer
    x = 387,750.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.