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Finding the Third Proportional to 140,534 and 205,543

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Solution

The third proportional to 140,534 and 205,543 is: 300,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,534 : 205,543 = 205,543 : x
  2. Step 2: Convert to fraction form
    140,534/205,543 = 205,543/x
  3. Step 3: Cross multiply
    140,534x = 205,543 × 205,543
  4. Step 4: Simplify right side
    140,534x = 42,247,924,849
  5. Step 5: Solve for x
    x = 42,247,924,849/140,534
  6. Step 6: Final answer
    x = 300,624.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.