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Finding the Third Proportional to 121,843 and 253,436.50

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Solution

The third proportional to 121,843 and 253,436.50 is: 527,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,843 : 253,436.50 = 253,436.50 : x
  2. Step 2: Convert to fraction form
    121,843/253,436.50 = 253,436.50/x
  3. Step 3: Cross multiply
    121,843x = 253,436.50 × 253,436.50
  4. Step 4: Simplify right side
    121,843x = 64,230,059,532.25
  5. Step 5: Solve for x
    x = 64,230,059,532.25/121,843
  6. Step 6: Final answer
    x = 527,154.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.