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Finding the Third Proportional to 177,156 and 385,416

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Solution

The third proportional to 177,156 and 385,416 is: 838,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,156 : 385,416 = 385,416 : x
  2. Step 2: Convert to fraction form
    177,156/385,416 = 385,416/x
  3. Step 3: Cross multiply
    177,156x = 385,416 × 385,416
  4. Step 4: Simplify right side
    177,156x = 148,545,493,056
  5. Step 5: Solve for x
    x = 148,545,493,056/177,156
  6. Step 6: Final answer
    x = 838,501.06

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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.