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Finding the Third Proportional to 159,948.50 and 342,037

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Solution

The third proportional to 159,948.50 and 342,037 is: 731,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,948.50 : 342,037 = 342,037 : x
  2. Step 2: Convert to fraction form
    159,948.50/342,037 = 342,037/x
  3. Step 3: Cross multiply
    159,948.50x = 342,037 × 342,037
  4. Step 4: Simplify right side
    159,948.50x = 116,989,309,369
  5. Step 5: Solve for x
    x = 116,989,309,369/159,948.50
  6. Step 6: Final answer
    x = 731,418.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.