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Finding the Third Proportional to 156,964 and 236,919

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Solution

The third proportional to 156,964 and 236,919 is: 357,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 236,919 = 236,919 : x
  2. Step 2: Convert to fraction form
    156,964/236,919 = 236,919/x
  3. Step 3: Cross multiply
    156,964x = 236,919 × 236,919
  4. Step 4: Simplify right side
    156,964x = 56,130,612,561
  5. Step 5: Solve for x
    x = 56,130,612,561/156,964
  6. Step 6: Final answer
    x = 357,601.82

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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.