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Finding the Third Proportional to 159,894 and 370,197

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Solution

The third proportional to 159,894 and 370,197 is: 857,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,894 : 370,197 = 370,197 : x
  2. Step 2: Convert to fraction form
    159,894/370,197 = 370,197/x
  3. Step 3: Cross multiply
    159,894x = 370,197 × 370,197
  4. Step 4: Simplify right side
    159,894x = 137,045,818,809
  5. Step 5: Solve for x
    x = 137,045,818,809/159,894
  6. Step 6: Final answer
    x = 857,104.20

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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.