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Finding the Third Proportional to 150,527.25 and 232,536.38

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Solution

The third proportional to 150,527.25 and 232,536.38 is: 359,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,527.25 : 232,536.38 = 232,536.38 : x
  2. Step 2: Convert to fraction form
    150,527.25/232,536.38 = 232,536.38/x
  3. Step 3: Cross multiply
    150,527.25x = 232,536.38 × 232,536.38
  4. Step 4: Simplify right side
    150,527.25x = 54,073,165,698.14
  5. Step 5: Solve for x
    x = 54,073,165,698.14/150,527.25
  6. Step 6: Final answer
    x = 359,225.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.