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Finding the Third Proportional to 171,666 and 359,020

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Solution

The third proportional to 171,666 and 359,020 is: 750,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,666 : 359,020 = 359,020 : x
  2. Step 2: Convert to fraction form
    171,666/359,020 = 359,020/x
  3. Step 3: Cross multiply
    171,666x = 359,020 × 359,020
  4. Step 4: Simplify right side
    171,666x = 128,895,360,400
  5. Step 5: Solve for x
    x = 128,895,360,400/171,666
  6. Step 6: Final answer
    x = 750,849.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.