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Finding the Third Proportional to 177,157 and 385,418

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Solution

The third proportional to 177,157 and 385,418 is: 838,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,157 : 385,418 = 385,418 : x
  2. Step 2: Convert to fraction form
    177,157/385,418 = 385,418/x
  3. Step 3: Cross multiply
    177,157x = 385,418 × 385,418
  4. Step 4: Simplify right side
    177,157x = 148,547,034,724
  5. Step 5: Solve for x
    x = 148,547,034,724/177,157
  6. Step 6: Final answer
    x = 838,505.03

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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.