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Finding the Third Proportional to 165,624 and 357,477

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Solution

The third proportional to 165,624 and 357,477 is: 771,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,624 : 357,477 = 357,477 : x
  2. Step 2: Convert to fraction form
    165,624/357,477 = 357,477/x
  3. Step 3: Cross multiply
    165,624x = 357,477 × 357,477
  4. Step 4: Simplify right side
    165,624x = 127,789,805,529
  5. Step 5: Solve for x
    x = 127,789,805,529/165,624
  6. Step 6: Final answer
    x = 771,565.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.