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Finding the Third Proportional to 225,055.13 and 318,442.50

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Solution

The third proportional to 225,055.13 and 318,442.50 is: 450,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,055.13 : 318,442.50 = 318,442.50 : x
  2. Step 2: Convert to fraction form
    225,055.13/318,442.50 = 318,442.50/x
  3. Step 3: Cross multiply
    225,055.13x = 318,442.50 × 318,442.50
  4. Step 4: Simplify right side
    225,055.13x = 101,405,625,806.25
  5. Step 5: Solve for x
    x = 101,405,625,806.25/225,055.13
  6. Step 6: Final answer
    x = 450,581.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.