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Finding the Third Proportional to 247,294 and 372,101

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Solution

The third proportional to 247,294 and 372,101 is: 559,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,294 : 372,101 = 372,101 : x
  2. Step 2: Convert to fraction form
    247,294/372,101 = 372,101/x
  3. Step 3: Cross multiply
    247,294x = 372,101 × 372,101
  4. Step 4: Simplify right side
    247,294x = 138,459,154,201
  5. Step 5: Solve for x
    x = 138,459,154,201/247,294
  6. Step 6: Final answer
    x = 559,896.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.