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Finding the Third Proportional to 177,202 and 385,508

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Solution

The third proportional to 177,202 and 385,508 is: 838,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,202 : 385,508 = 385,508 : x
  2. Step 2: Convert to fraction form
    177,202/385,508 = 385,508/x
  3. Step 3: Cross multiply
    177,202x = 385,508 × 385,508
  4. Step 4: Simplify right side
    177,202x = 148,616,418,064
  5. Step 5: Solve for x
    x = 148,616,418,064/177,202
  6. Step 6: Final answer
    x = 838,683.64

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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.