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Finding the Third Proportional to 176,045 and 379,468

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Solution

The third proportional to 176,045 and 379,468 is: 817,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,045 : 379,468 = 379,468 : x
  2. Step 2: Convert to fraction form
    176,045/379,468 = 379,468/x
  3. Step 3: Cross multiply
    176,045x = 379,468 × 379,468
  4. Step 4: Simplify right side
    176,045x = 143,995,963,024
  5. Step 5: Solve for x
    x = 143,995,963,024/176,045
  6. Step 6: Final answer
    x = 817,949.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.