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Finding the Third Proportional to 177,792 and 385,095

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Solution

The third proportional to 177,792 and 385,095 is: 834,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,792 : 385,095 = 385,095 : x
  2. Step 2: Convert to fraction form
    177,792/385,095 = 385,095/x
  3. Step 3: Cross multiply
    177,792x = 385,095 × 385,095
  4. Step 4: Simplify right side
    177,792x = 148,298,159,025
  5. Step 5: Solve for x
    x = 148,298,159,025/177,792
  6. Step 6: Final answer
    x = 834,110.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.