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Finding the Third Proportional to 165,742 and 253,430

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Solution

The third proportional to 165,742 and 253,430 is: 387,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,742 : 253,430 = 253,430 : x
  2. Step 2: Convert to fraction form
    165,742/253,430 = 253,430/x
  3. Step 3: Cross multiply
    165,742x = 253,430 × 253,430
  4. Step 4: Simplify right side
    165,742x = 64,226,764,900
  5. Step 5: Solve for x
    x = 64,226,764,900/165,742
  6. Step 6: Final answer
    x = 387,510.50

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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.