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Finding the Third Proportional to 159,934.50 and 370,251

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Solution

The third proportional to 159,934.50 and 370,251 is: 857,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,934.50 : 370,251 = 370,251 : x
  2. Step 2: Convert to fraction form
    159,934.50/370,251 = 370,251/x
  3. Step 3: Cross multiply
    159,934.50x = 370,251 × 370,251
  4. Step 4: Simplify right side
    159,934.50x = 137,085,803,001
  5. Step 5: Solve for x
    x = 137,085,803,001/159,934.50
  6. Step 6: Final answer
    x = 857,137.16

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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.