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Finding the Third Proportional to 80,495 and 174,828

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Solution

The third proportional to 80,495 and 174,828 is: 379,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,495 : 174,828 = 174,828 : x
  2. Step 2: Convert to fraction form
    80,495/174,828 = 174,828/x
  3. Step 3: Cross multiply
    80,495x = 174,828 × 174,828
  4. Step 4: Simplify right side
    80,495x = 30,564,829,584
  5. Step 5: Solve for x
    x = 30,564,829,584/80,495
  6. Step 6: Final answer
    x = 379,710.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.