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Finding the Third Proportional to 140,325.75 and 216,024.75

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Solution

The third proportional to 140,325.75 and 216,024.75 is: 332,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,325.75 : 216,024.75 = 216,024.75 : x
  2. Step 2: Convert to fraction form
    140,325.75/216,024.75 = 216,024.75/x
  3. Step 3: Cross multiply
    140,325.75x = 216,024.75 × 216,024.75
  4. Step 4: Simplify right side
    140,325.75x = 46,666,692,612.56
  5. Step 5: Solve for x
    x = 46,666,692,612.56/140,325.75
  6. Step 6: Final answer
    x = 332,559.72

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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.