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Finding the Third Proportional to 104,320.13 and 225,271.13

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Solution

The third proportional to 104,320.13 and 225,271.13 is: 486,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,320.13 : 225,271.13 = 225,271.13 : x
  2. Step 2: Convert to fraction form
    104,320.13/225,271.13 = 225,271.13/x
  3. Step 3: Cross multiply
    104,320.13x = 225,271.13 × 225,271.13
  4. Step 4: Simplify right side
    104,320.13x = 50,747,079,758.77
  5. Step 5: Solve for x
    x = 50,747,079,758.77/104,320.13
  6. Step 6: Final answer
    x = 486,455.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.