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Finding the Third Proportional to 177,445 and 387,006.75

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Solution

The third proportional to 177,445 and 387,006.75 is: 844,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,445 : 387,006.75 = 387,006.75 : x
  2. Step 2: Convert to fraction form
    177,445/387,006.75 = 387,006.75/x
  3. Step 3: Cross multiply
    177,445x = 387,006.75 × 387,006.75
  4. Step 4: Simplify right side
    177,445x = 149,774,224,545.56
  5. Step 5: Solve for x
    x = 149,774,224,545.56/177,445
  6. Step 6: Final answer
    x = 844,059.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.