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Finding the Third Proportional to 177,748 and 380,511

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Solution

The third proportional to 177,748 and 380,511 is: 814,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,748 : 380,511 = 380,511 : x
  2. Step 2: Convert to fraction form
    177,748/380,511 = 380,511/x
  3. Step 3: Cross multiply
    177,748x = 380,511 × 380,511
  4. Step 4: Simplify right side
    177,748x = 144,788,621,121
  5. Step 5: Solve for x
    x = 144,788,621,121/177,748
  6. Step 6: Final answer
    x = 814,572.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.