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Finding the Third Proportional to 176,262 and 372,615

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Solution

The third proportional to 176,262 and 372,615 is: 787,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,262 : 372,615 = 372,615 : x
  2. Step 2: Convert to fraction form
    176,262/372,615 = 372,615/x
  3. Step 3: Cross multiply
    176,262x = 372,615 × 372,615
  4. Step 4: Simplify right side
    176,262x = 138,841,938,225
  5. Step 5: Solve for x
    x = 138,841,938,225/176,262
  6. Step 6: Final answer
    x = 787,702.05

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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.