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Finding the Third Proportional to 107,965.13 and 250,984.13

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Solution

The third proportional to 107,965.13 and 250,984.13 is: 583,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,965.13 : 250,984.13 = 250,984.13 : x
  2. Step 2: Convert to fraction form
    107,965.13/250,984.13 = 250,984.13/x
  3. Step 3: Cross multiply
    107,965.13x = 250,984.13 × 250,984.13
  4. Step 4: Simplify right side
    107,965.13x = 62,993,031,002.02
  5. Step 5: Solve for x
    x = 62,993,031,002.02/107,965.13
  6. Step 6: Final answer
    x = 583,457.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.