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Finding the Third Proportional to 137,575.25 and 298,050.25

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Solution

The third proportional to 137,575.25 and 298,050.25 is: 645,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.25 : 298,050.25 = 298,050.25 : x
  2. Step 2: Convert to fraction form
    137,575.25/298,050.25 = 298,050.25/x
  3. Step 3: Cross multiply
    137,575.25x = 298,050.25 × 298,050.25
  4. Step 4: Simplify right side
    137,575.25x = 88,833,951,525.06
  5. Step 5: Solve for x
    x = 88,833,951,525.06/137,575.25
  6. Step 6: Final answer
    x = 645,711.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.