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Finding the Third Proportional to 115,723.13 and 253,074.38

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Solution

The third proportional to 115,723.13 and 253,074.38 is: 553,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,723.13 : 253,074.38 = 253,074.38 : x
  2. Step 2: Convert to fraction form
    115,723.13/253,074.38 = 253,074.38/x
  3. Step 3: Cross multiply
    115,723.13x = 253,074.38 × 253,074.38
  4. Step 4: Simplify right side
    115,723.13x = 64,046,639,281.64
  5. Step 5: Solve for x
    x = 64,046,639,281.64/115,723.13
  6. Step 6: Final answer
    x = 553,447.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.