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Finding the Third Proportional to 156,565.50 and 342,669

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Solution

The third proportional to 156,565.50 and 342,669 is: 749,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,565.50 : 342,669 = 342,669 : x
  2. Step 2: Convert to fraction form
    156,565.50/342,669 = 342,669/x
  3. Step 3: Cross multiply
    156,565.50x = 342,669 × 342,669
  4. Step 4: Simplify right side
    156,565.50x = 117,422,043,561
  5. Step 5: Solve for x
    x = 117,422,043,561/156,565.50
  6. Step 6: Final answer
    x = 749,986.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.