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Finding the Third Proportional to 134,158.50 and 284,305.50

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Solution

The third proportional to 134,158.50 and 284,305.50 is: 602,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,158.50 : 284,305.50 = 284,305.50 : x
  2. Step 2: Convert to fraction form
    134,158.50/284,305.50 = 284,305.50/x
  3. Step 3: Cross multiply
    134,158.50x = 284,305.50 × 284,305.50
  4. Step 4: Simplify right side
    134,158.50x = 80,829,617,330.25
  5. Step 5: Solve for x
    x = 80,829,617,330.25/134,158.50
  6. Step 6: Final answer
    x = 602,493.45

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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.