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Finding the Third Proportional to 156,914 and 342,987

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Solution

The third proportional to 156,914 and 342,987 is: 749,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,914 : 342,987 = 342,987 : x
  2. Step 2: Convert to fraction form
    156,914/342,987 = 342,987/x
  3. Step 3: Cross multiply
    156,914x = 342,987 × 342,987
  4. Step 4: Simplify right side
    156,914x = 117,640,082,169
  5. Step 5: Solve for x
    x = 117,640,082,169/156,914
  6. Step 6: Final answer
    x = 749,710.56

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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.