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Finding the Third Proportional to 155,049 and 233,481

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Solution

The third proportional to 155,049 and 233,481 is: 351,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,049 : 233,481 = 233,481 : x
  2. Step 2: Convert to fraction form
    155,049/233,481 = 233,481/x
  3. Step 3: Cross multiply
    155,049x = 233,481 × 233,481
  4. Step 4: Simplify right side
    155,049x = 54,513,377,361
  5. Step 5: Solve for x
    x = 54,513,377,361/155,049
  6. Step 6: Final answer
    x = 351,588.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.