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Finding the Third Proportional to 225,220.50 and 485,352

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Solution

The third proportional to 225,220.50 and 485,352 is: 1,045,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,220.50 : 485,352 = 485,352 : x
  2. Step 2: Convert to fraction form
    225,220.50/485,352 = 485,352/x
  3. Step 3: Cross multiply
    225,220.50x = 485,352 × 485,352
  4. Step 4: Simplify right side
    225,220.50x = 235,566,563,904
  5. Step 5: Solve for x
    x = 235,566,563,904/225,220.50
  6. Step 6: Final answer
    x = 1,045,937.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.