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Finding the Third Proportional to 69,280 and 151,522

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Solution

The third proportional to 69,280 and 151,522 is: 331,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,280 : 151,522 = 151,522 : x
  2. Step 2: Convert to fraction form
    69,280/151,522 = 151,522/x
  3. Step 3: Cross multiply
    69,280x = 151,522 × 151,522
  4. Step 4: Simplify right side
    69,280x = 22,958,916,484
  5. Step 5: Solve for x
    x = 22,958,916,484/69,280
  6. Step 6: Final answer
    x = 331,393.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.