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Finding the Third Proportional to 156,980 and 236,943

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Solution

The third proportional to 156,980 and 236,943 is: 357,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980 : 236,943 = 236,943 : x
  2. Step 2: Convert to fraction form
    156,980/236,943 = 236,943/x
  3. Step 3: Cross multiply
    156,980x = 236,943 × 236,943
  4. Step 4: Simplify right side
    156,980x = 56,141,985,249
  5. Step 5: Solve for x
    x = 56,141,985,249/156,980
  6. Step 6: Final answer
    x = 357,637.82

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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.