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Finding the Third Proportional to 159,910 and 370,239

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Solution

The third proportional to 159,910 and 370,239 is: 857,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,910 : 370,239 = 370,239 : x
  2. Step 2: Convert to fraction form
    159,910/370,239 = 370,239/x
  3. Step 3: Cross multiply
    159,910x = 370,239 × 370,239
  4. Step 4: Simplify right side
    159,910x = 137,076,917,121
  5. Step 5: Solve for x
    x = 137,076,917,121/159,910
  6. Step 6: Final answer
    x = 857,212.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.