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Finding the Third Proportional to 176,260 and 372,613

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Solution

The third proportional to 176,260 and 372,613 is: 787,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,260 : 372,613 = 372,613 : x
  2. Step 2: Convert to fraction form
    176,260/372,613 = 372,613/x
  3. Step 3: Cross multiply
    176,260x = 372,613 × 372,613
  4. Step 4: Simplify right side
    176,260x = 138,840,447,769
  5. Step 5: Solve for x
    x = 138,840,447,769/176,260
  6. Step 6: Final answer
    x = 787,702.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.