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Finding the Third Proportional to 225,298 and 348,731

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Solution

The third proportional to 225,298 and 348,731 is: 539,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,298 : 348,731 = 348,731 : x
  2. Step 2: Convert to fraction form
    225,298/348,731 = 348,731/x
  3. Step 3: Cross multiply
    225,298x = 348,731 × 348,731
  4. Step 4: Simplify right side
    225,298x = 121,613,310,361
  5. Step 5: Solve for x
    x = 121,613,310,361/225,298
  6. Step 6: Final answer
    x = 539,788.68

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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.