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Finding the Third Proportional to 149,476 and 218,464

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Solution

The third proportional to 149,476 and 218,464 is: 319,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,476 : 218,464 = 218,464 : x
  2. Step 2: Convert to fraction form
    149,476/218,464 = 218,464/x
  3. Step 3: Cross multiply
    149,476x = 218,464 × 218,464
  4. Step 4: Simplify right side
    149,476x = 47,726,519,296
  5. Step 5: Solve for x
    x = 47,726,519,296/149,476
  6. Step 6: Final answer
    x = 319,292.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.