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Finding the Third Proportional to 316,184.50 and 485,941

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Solution

The third proportional to 316,184.50 and 485,941 is: 746,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,184.50 : 485,941 = 485,941 : x
  2. Step 2: Convert to fraction form
    316,184.50/485,941 = 485,941/x
  3. Step 3: Cross multiply
    316,184.50x = 485,941 × 485,941
  4. Step 4: Simplify right side
    316,184.50x = 236,138,655,481
  5. Step 5: Solve for x
    x = 236,138,655,481/316,184.50
  6. Step 6: Final answer
    x = 746,838.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.