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Finding the Third Proportional to 177,557 and 381,466

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Solution

The third proportional to 177,557 and 381,466 is: 819,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,557 : 381,466 = 381,466 : x
  2. Step 2: Convert to fraction form
    177,557/381,466 = 381,466/x
  3. Step 3: Cross multiply
    177,557x = 381,466 × 381,466
  4. Step 4: Simplify right side
    177,557x = 145,516,309,156
  5. Step 5: Solve for x
    x = 145,516,309,156/177,557
  6. Step 6: Final answer
    x = 819,547.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.