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Finding the Third Proportional to 147,026.25 and 216,231.75

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Solution

The third proportional to 147,026.25 and 216,231.75 is: 318,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,026.25 : 216,231.75 = 216,231.75 : x
  2. Step 2: Convert to fraction form
    147,026.25/216,231.75 = 216,231.75/x
  3. Step 3: Cross multiply
    147,026.25x = 216,231.75 × 216,231.75
  4. Step 4: Simplify right side
    147,026.25x = 46,756,169,708.06
  5. Step 5: Solve for x
    x = 46,756,169,708.06/147,026.25
  6. Step 6: Final answer
    x = 318,012.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.