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Finding the Third Proportional to 155,046 and 334,876

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Solution

The third proportional to 155,046 and 334,876 is: 723,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,046 : 334,876 = 334,876 : x
  2. Step 2: Convert to fraction form
    155,046/334,876 = 334,876/x
  3. Step 3: Cross multiply
    155,046x = 334,876 × 334,876
  4. Step 4: Simplify right side
    155,046x = 112,141,935,376
  5. Step 5: Solve for x
    x = 112,141,935,376/155,046
  6. Step 6: Final answer
    x = 723,281.71

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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.