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Finding the Third Proportional to 232,675.03 and 355,774.78

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Solution

The third proportional to 232,675.03 and 355,774.78 is: 544,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,675.03 : 355,774.78 = 355,774.78 : x
  2. Step 2: Convert to fraction form
    232,675.03/355,774.78 = 355,774.78/x
  3. Step 3: Cross multiply
    232,675.03x = 355,774.78 × 355,774.78
  4. Step 4: Simplify right side
    232,675.03x = 126,575,694,973.49
  5. Step 5: Solve for x
    x = 126,575,694,973.49/232,675.03
  6. Step 6: Final answer
    x = 544,002.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.