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Finding the Third Proportional to 232,749 and 355,891.50

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Solution

The third proportional to 232,749 and 355,891.50 is: 544,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,749 : 355,891.50 = 355,891.50 : x
  2. Step 2: Convert to fraction form
    232,749/355,891.50 = 355,891.50/x
  3. Step 3: Cross multiply
    232,749x = 355,891.50 × 355,891.50
  4. Step 4: Simplify right side
    232,749x = 126,658,759,772.25
  5. Step 5: Solve for x
    x = 126,658,759,772.25/232,749
  6. Step 6: Final answer
    x = 544,186.05

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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.