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Finding the Third Proportional to 177,141 and 385,386

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Solution

The third proportional to 177,141 and 385,386 is: 838,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,141 : 385,386 = 385,386 : x
  2. Step 2: Convert to fraction form
    177,141/385,386 = 385,386/x
  3. Step 3: Cross multiply
    177,141x = 385,386 × 385,386
  4. Step 4: Simplify right side
    177,141x = 148,522,368,996
  5. Step 5: Solve for x
    x = 148,522,368,996/177,141
  6. Step 6: Final answer
    x = 838,441.52

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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.