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Finding the Third Proportional to 280,216.13 and 446,097.38

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Solution

The third proportional to 280,216.13 and 446,097.38 is: 710,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,216.13 : 446,097.38 = 446,097.38 : x
  2. Step 2: Convert to fraction form
    280,216.13/446,097.38 = 446,097.38/x
  3. Step 3: Cross multiply
    280,216.13x = 446,097.38 × 446,097.38
  4. Step 4: Simplify right side
    280,216.13x = 199,002,867,981.89
  5. Step 5: Solve for x
    x = 199,002,867,981.89/280,216.13
  6. Step 6: Final answer
    x = 710,176.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.