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Finding the Third Proportional to 140,551.31 and 217,396.13

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Solution

The third proportional to 140,551.31 and 217,396.13 is: 336,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,551.31 : 217,396.13 = 217,396.13 : x
  2. Step 2: Convert to fraction form
    140,551.31/217,396.13 = 217,396.13/x
  3. Step 3: Cross multiply
    140,551.31x = 217,396.13 × 217,396.13
  4. Step 4: Simplify right side
    140,551.31x = 47,261,075,165.02
  5. Step 5: Solve for x
    x = 47,261,075,165.02/140,551.31
  6. Step 6: Final answer
    x = 336,254.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.