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Finding the Third Proportional to 117,354.50 and 253,414.50

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Solution

The third proportional to 117,354.50 and 253,414.50 is: 547,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,354.50 : 253,414.50 = 253,414.50 : x
  2. Step 2: Convert to fraction form
    117,354.50/253,414.50 = 253,414.50/x
  3. Step 3: Cross multiply
    117,354.50x = 253,414.50 × 253,414.50
  4. Step 4: Simplify right side
    117,354.50x = 64,218,908,810.25
  5. Step 5: Solve for x
    x = 64,218,908,810.25/117,354.50
  6. Step 6: Final answer
    x = 547,221.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.