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Finding the Third Proportional to 158,290 and 341,156

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Solution

The third proportional to 158,290 and 341,156 is: 735,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,290 : 341,156 = 341,156 : x
  2. Step 2: Convert to fraction form
    158,290/341,156 = 341,156/x
  3. Step 3: Cross multiply
    158,290x = 341,156 × 341,156
  4. Step 4: Simplify right side
    158,290x = 116,387,416,336
  5. Step 5: Solve for x
    x = 116,387,416,336/158,290
  6. Step 6: Final answer
    x = 735,279.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.