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Finding the Third Proportional to 225,418.50 and 348,572.25

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Solution

The third proportional to 225,418.50 and 348,572.25 is: 539,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,418.50 : 348,572.25 = 348,572.25 : x
  2. Step 2: Convert to fraction form
    225,418.50/348,572.25 = 348,572.25/x
  3. Step 3: Cross multiply
    225,418.50x = 348,572.25 × 348,572.25
  4. Step 4: Simplify right side
    225,418.50x = 121,502,613,470.06
  5. Step 5: Solve for x
    x = 121,502,613,470.06/225,418.50
  6. Step 6: Final answer
    x = 539,009.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.