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Finding the Third Proportional to 133,038 and 284,524

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Solution

The third proportional to 133,038 and 284,524 is: 608,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 284,524 = 284,524 : x
  2. Step 2: Convert to fraction form
    133,038/284,524 = 284,524/x
  3. Step 3: Cross multiply
    133,038x = 284,524 × 284,524
  4. Step 4: Simplify right side
    133,038x = 80,953,906,576
  5. Step 5: Solve for x
    x = 80,953,906,576/133,038
  6. Step 6: Final answer
    x = 608,502.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.