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Finding the Third Proportional to 175,294.13 and 274,590

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Solution

The third proportional to 175,294.13 and 274,590 is: 430,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,294.13 : 274,590 = 274,590 : x
  2. Step 2: Convert to fraction form
    175,294.13/274,590 = 274,590/x
  3. Step 3: Cross multiply
    175,294.13x = 274,590 × 274,590
  4. Step 4: Simplify right side
    175,294.13x = 75,399,668,100
  5. Step 5: Solve for x
    x = 75,399,668,100/175,294.13
  6. Step 6: Final answer
    x = 430,132.32

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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.