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Finding the Third Proportional to 177,595 and 380,461

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Solution

The third proportional to 177,595 and 380,461 is: 815,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,595 : 380,461 = 380,461 : x
  2. Step 2: Convert to fraction form
    177,595/380,461 = 380,461/x
  3. Step 3: Cross multiply
    177,595x = 380,461 × 380,461
  4. Step 4: Simplify right side
    177,595x = 144,750,572,521
  5. Step 5: Solve for x
    x = 144,750,572,521/177,595
  6. Step 6: Final answer
    x = 815,059.95

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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.