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Finding the Third Proportional to 177,588 and 380,448

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Solution

The third proportional to 177,588 and 380,448 is: 815,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,588 : 380,448 = 380,448 : x
  2. Step 2: Convert to fraction form
    177,588/380,448 = 380,448/x
  3. Step 3: Cross multiply
    177,588x = 380,448 × 380,448
  4. Step 4: Simplify right side
    177,588x = 144,740,680,704
  5. Step 5: Solve for x
    x = 144,740,680,704/177,588
  6. Step 6: Final answer
    x = 815,036.38

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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.