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Finding the Third Proportional to 177,594 and 380,460

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Solution

The third proportional to 177,594 and 380,460 is: 815,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,594 : 380,460 = 380,460 : x
  2. Step 2: Convert to fraction form
    177,594/380,460 = 380,460/x
  3. Step 3: Cross multiply
    177,594x = 380,460 × 380,460
  4. Step 4: Simplify right side
    177,594x = 144,749,811,600
  5. Step 5: Solve for x
    x = 144,749,811,600/177,594
  6. Step 6: Final answer
    x = 815,060.26

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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.