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Finding the Third Proportional to 137,066.50 and 215,065.50

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Solution

The third proportional to 137,066.50 and 215,065.50 is: 337,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,066.50 : 215,065.50 = 215,065.50 : x
  2. Step 2: Convert to fraction form
    137,066.50/215,065.50 = 215,065.50/x
  3. Step 3: Cross multiply
    137,066.50x = 215,065.50 × 215,065.50
  4. Step 4: Simplify right side
    137,066.50x = 46,253,169,290.25
  5. Step 5: Solve for x
    x = 46,253,169,290.25/137,066.50
  6. Step 6: Final answer
    x = 337,450.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.