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Finding the Third Proportional to 223,877.25 and 346,659.75

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Solution

The third proportional to 223,877.25 and 346,659.75 is: 536,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,877.25 : 346,659.75 = 346,659.75 : x
  2. Step 2: Convert to fraction form
    223,877.25/346,659.75 = 346,659.75/x
  3. Step 3: Cross multiply
    223,877.25x = 346,659.75 × 346,659.75
  4. Step 4: Simplify right side
    223,877.25x = 120,172,982,270.06
  5. Step 5: Solve for x
    x = 120,172,982,270.06/223,877.25
  6. Step 6: Final answer
    x = 536,780.68

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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.