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Finding the Third Proportional to 156,749 and 235,127

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Solution

The third proportional to 156,749 and 235,127 is: 352,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,749 : 235,127 = 235,127 : x
  2. Step 2: Convert to fraction form
    156,749/235,127 = 235,127/x
  3. Step 3: Cross multiply
    156,749x = 235,127 × 235,127
  4. Step 4: Simplify right side
    156,749x = 55,284,706,129
  5. Step 5: Solve for x
    x = 55,284,706,129/156,749
  6. Step 6: Final answer
    x = 352,695.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.