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Finding the Third Proportional to 152,980.13 and 215,049.75

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Solution

The third proportional to 152,980.13 and 215,049.75 is: 302,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,980.13 : 215,049.75 = 215,049.75 : x
  2. Step 2: Convert to fraction form
    152,980.13/215,049.75 = 215,049.75/x
  3. Step 3: Cross multiply
    152,980.13x = 215,049.75 × 215,049.75
  4. Step 4: Simplify right side
    152,980.13x = 46,246,394,975.06
  5. Step 5: Solve for x
    x = 46,246,394,975.06/152,980.13
  6. Step 6: Final answer
    x = 302,303.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.