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Finding the Third Proportional to 175,260 and 274,566

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Solution

The third proportional to 175,260 and 274,566 is: 430,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,260 : 274,566 = 274,566 : x
  2. Step 2: Convert to fraction form
    175,260/274,566 = 274,566/x
  3. Step 3: Cross multiply
    175,260x = 274,566 × 274,566
  4. Step 4: Simplify right side
    175,260x = 75,386,488,356
  5. Step 5: Solve for x
    x = 75,386,488,356/175,260
  6. Step 6: Final answer
    x = 430,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.