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Finding the Third Proportional to 156,972 and 236,931

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Solution

The third proportional to 156,972 and 236,931 is: 357,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 236,931 = 236,931 : x
  2. Step 2: Convert to fraction form
    156,972/236,931 = 236,931/x
  3. Step 3: Cross multiply
    156,972x = 236,931 × 236,931
  4. Step 4: Simplify right side
    156,972x = 56,136,298,761
  5. Step 5: Solve for x
    x = 56,136,298,761/156,972
  6. Step 6: Final answer
    x = 357,619.82

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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.