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Finding the Third Proportional to 171,386 and 351,124

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Solution

The third proportional to 171,386 and 351,124 is: 719,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,386 : 351,124 = 351,124 : x
  2. Step 2: Convert to fraction form
    171,386/351,124 = 351,124/x
  3. Step 3: Cross multiply
    171,386x = 351,124 × 351,124
  4. Step 4: Simplify right side
    171,386x = 123,288,063,376
  5. Step 5: Solve for x
    x = 123,288,063,376/171,386
  6. Step 6: Final answer
    x = 719,359.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.