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Finding the Third Proportional to 148,454 and 311,496

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Solution

The third proportional to 148,454 and 311,496 is: 653,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,454 : 311,496 = 311,496 : x
  2. Step 2: Convert to fraction form
    148,454/311,496 = 311,496/x
  3. Step 3: Cross multiply
    148,454x = 311,496 × 311,496
  4. Step 4: Simplify right side
    148,454x = 97,029,758,016
  5. Step 5: Solve for x
    x = 97,029,758,016/148,454
  6. Step 6: Final answer
    x = 653,601.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.