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Finding the Third Proportional to 225,299 and 348,733

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Solution

The third proportional to 225,299 and 348,733 is: 539,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,299 : 348,733 = 348,733 : x
  2. Step 2: Convert to fraction form
    225,299/348,733 = 348,733/x
  3. Step 3: Cross multiply
    225,299x = 348,733 × 348,733
  4. Step 4: Simplify right side
    225,299x = 121,614,705,289
  5. Step 5: Solve for x
    x = 121,614,705,289/225,299
  6. Step 6: Final answer
    x = 539,792.48

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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.