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Finding the Third Proportional to 156,986 and 236,952

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Solution

The third proportional to 156,986 and 236,952 is: 357,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 236,952 = 236,952 : x
  2. Step 2: Convert to fraction form
    156,986/236,952 = 236,952/x
  3. Step 3: Cross multiply
    156,986x = 236,952 × 236,952
  4. Step 4: Simplify right side
    156,986x = 56,146,250,304
  5. Step 5: Solve for x
    x = 56,146,250,304/156,986
  6. Step 6: Final answer
    x = 357,651.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.