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Finding the Third Proportional to 140,768 and 206,536

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Solution

The third proportional to 140,768 and 206,536 is: 303,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,768 : 206,536 = 206,536 : x
  2. Step 2: Convert to fraction form
    140,768/206,536 = 206,536/x
  3. Step 3: Cross multiply
    140,768x = 206,536 × 206,536
  4. Step 4: Simplify right side
    140,768x = 42,657,119,296
  5. Step 5: Solve for x
    x = 42,657,119,296/140,768
  6. Step 6: Final answer
    x = 303,031.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.