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Finding the Third Proportional to 140,594 and 215,068

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Solution

The third proportional to 140,594 and 215,068 is: 328,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,594 : 215,068 = 215,068 : x
  2. Step 2: Convert to fraction form
    140,594/215,068 = 215,068/x
  3. Step 3: Cross multiply
    140,594x = 215,068 × 215,068
  4. Step 4: Simplify right side
    140,594x = 46,254,244,624
  5. Step 5: Solve for x
    x = 46,254,244,624/140,594
  6. Step 6: Final answer
    x = 328,991.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.