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Finding the Third Proportional to 193,499 and 284,560.50

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Solution

The third proportional to 193,499 and 284,560.50 is: 418,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,499 : 284,560.50 = 284,560.50 : x
  2. Step 2: Convert to fraction form
    193,499/284,560.50 = 284,560.50/x
  3. Step 3: Cross multiply
    193,499x = 284,560.50 × 284,560.50
  4. Step 4: Simplify right side
    193,499x = 80,974,678,160.25
  5. Step 5: Solve for x
    x = 80,974,678,160.25/193,499
  6. Step 6: Final answer
    x = 418,475.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.