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Finding the Third Proportional to 173,886.75 and 366,454.13

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Solution

The third proportional to 173,886.75 and 366,454.13 is: 772,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,886.75 : 366,454.13 = 366,454.13 : x
  2. Step 2: Convert to fraction form
    173,886.75/366,454.13 = 366,454.13/x
  3. Step 3: Cross multiply
    173,886.75x = 366,454.13 × 366,454.13
  4. Step 4: Simplify right side
    173,886.75x = 134,288,625,729.52
  5. Step 5: Solve for x
    x = 134,288,625,729.52/173,886.75
  6. Step 6: Final answer
    x = 772,276.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.