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Finding the Third Proportional to 156,952 and 236,901

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Solution

The third proportional to 156,952 and 236,901 is: 357,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 236,901 = 236,901 : x
  2. Step 2: Convert to fraction form
    156,952/236,901 = 236,901/x
  3. Step 3: Cross multiply
    156,952x = 236,901 × 236,901
  4. Step 4: Simplify right side
    156,952x = 56,122,083,801
  5. Step 5: Solve for x
    x = 56,122,083,801/156,952
  6. Step 6: Final answer
    x = 357,574.82

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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.