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Finding the Third Proportional to 223,828.50 and 485,508

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Solution

The third proportional to 223,828.50 and 485,508 is: 1,053,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,828.50 : 485,508 = 485,508 : x
  2. Step 2: Convert to fraction form
    223,828.50/485,508 = 485,508/x
  3. Step 3: Cross multiply
    223,828.50x = 485,508 × 485,508
  4. Step 4: Simplify right side
    223,828.50x = 235,718,018,064
  5. Step 5: Solve for x
    x = 235,718,018,064/223,828.50
  6. Step 6: Final answer
    x = 1,053,118.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.