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Finding the Third Proportional to 140,716 and 217,594

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Solution

The third proportional to 140,716 and 217,594 is: 336,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,716 : 217,594 = 217,594 : x
  2. Step 2: Convert to fraction form
    140,716/217,594 = 217,594/x
  3. Step 3: Cross multiply
    140,716x = 217,594 × 217,594
  4. Step 4: Simplify right side
    140,716x = 47,347,148,836
  5. Step 5: Solve for x
    x = 47,347,148,836/140,716
  6. Step 6: Final answer
    x = 336,473.10

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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.