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Finding the Third Proportional to 117,520.88 and 253,742.63

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Solution

The third proportional to 117,520.88 and 253,742.63 is: 547,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,520.88 : 253,742.63 = 253,742.63 : x
  2. Step 2: Convert to fraction form
    117,520.88/253,742.63 = 253,742.63/x
  3. Step 3: Cross multiply
    117,520.88x = 253,742.63 × 253,742.63
  4. Step 4: Simplify right side
    117,520.88x = 64,385,319,741.89
  5. Step 5: Solve for x
    x = 64,385,319,741.89/117,520.88
  6. Step 6: Final answer
    x = 547,862.83

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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.