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Finding the Third Proportional to 253,129.50 and 356,017.50

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Solution

The third proportional to 253,129.50 and 356,017.50 is: 500,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,129.50 : 356,017.50 = 356,017.50 : x
  2. Step 2: Convert to fraction form
    253,129.50/356,017.50 = 356,017.50/x
  3. Step 3: Cross multiply
    253,129.50x = 356,017.50 × 356,017.50
  4. Step 4: Simplify right side
    253,129.50x = 126,748,460,306.25
  5. Step 5: Solve for x
    x = 126,748,460,306.25/253,129.50
  6. Step 6: Final answer
    x = 500,725.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.