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Finding the Third Proportional to 159,224 and 343,312

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Solution

The third proportional to 159,224 and 343,312 is: 740,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,224 : 343,312 = 343,312 : x
  2. Step 2: Convert to fraction form
    159,224/343,312 = 343,312/x
  3. Step 3: Cross multiply
    159,224x = 343,312 × 343,312
  4. Step 4: Simplify right side
    159,224x = 117,863,129,344
  5. Step 5: Solve for x
    x = 117,863,129,344/159,224
  6. Step 6: Final answer
    x = 740,234.70

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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.