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Finding the Third Proportional to 176,262 and 372,617

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Solution

The third proportional to 176,262 and 372,617 is: 787,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,262 : 372,617 = 372,617 : x
  2. Step 2: Convert to fraction form
    176,262/372,617 = 372,617/x
  3. Step 3: Cross multiply
    176,262x = 372,617 × 372,617
  4. Step 4: Simplify right side
    176,262x = 138,843,428,689
  5. Step 5: Solve for x
    x = 138,843,428,689/176,262
  6. Step 6: Final answer
    x = 787,710.50

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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.