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Finding the Third Proportional to 134,119.13 and 284,229

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Solution

The third proportional to 134,119.13 and 284,229 is: 602,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,119.13 : 284,229 = 284,229 : x
  2. Step 2: Convert to fraction form
    134,119.13/284,229 = 284,229/x
  3. Step 3: Cross multiply
    134,119.13x = 284,229 × 284,229
  4. Step 4: Simplify right side
    134,119.13x = 80,786,124,441
  5. Step 5: Solve for x
    x = 80,786,124,441/134,119.13
  6. Step 6: Final answer
    x = 602,346.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.