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Finding the Third Proportional to 268,621.31 and 365,031.56

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Solution

The third proportional to 268,621.31 and 365,031.56 is: 496,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,621.31 : 365,031.56 = 365,031.56 : x
  2. Step 2: Convert to fraction form
    268,621.31/365,031.56 = 365,031.56/x
  3. Step 3: Cross multiply
    268,621.31x = 365,031.56 × 365,031.56
  4. Step 4: Simplify right side
    268,621.31x = 133,248,041,621.19
  5. Step 5: Solve for x
    x = 133,248,041,621.19/268,621.31
  6. Step 6: Final answer
    x = 496,044.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.