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Finding the Third Proportional to 156,055.50 and 336,987

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Solution

The third proportional to 156,055.50 and 336,987 is: 727,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,055.50 : 336,987 = 336,987 : x
  2. Step 2: Convert to fraction form
    156,055.50/336,987 = 336,987/x
  3. Step 3: Cross multiply
    156,055.50x = 336,987 × 336,987
  4. Step 4: Simplify right side
    156,055.50x = 113,560,238,169
  5. Step 5: Solve for x
    x = 113,560,238,169/156,055.50
  6. Step 6: Final answer
    x = 727,691.35

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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.