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Finding the Third Proportional to 137,360.25 and 285,243.75

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Solution

The third proportional to 137,360.25 and 285,243.75 is: 592,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,360.25 : 285,243.75 = 285,243.75 : x
  2. Step 2: Convert to fraction form
    137,360.25/285,243.75 = 285,243.75/x
  3. Step 3: Cross multiply
    137,360.25x = 285,243.75 × 285,243.75
  4. Step 4: Simplify right side
    137,360.25x = 81,363,996,914.06
  5. Step 5: Solve for x
    x = 81,363,996,914.06/137,360.25
  6. Step 6: Final answer
    x = 592,340.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.