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Finding the Third Proportional to 175,006 and 357,394

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Solution

The third proportional to 175,006 and 357,394 is: 729,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,006 : 357,394 = 357,394 : x
  2. Step 2: Convert to fraction form
    175,006/357,394 = 357,394/x
  3. Step 3: Cross multiply
    175,006x = 357,394 × 357,394
  4. Step 4: Simplify right side
    175,006x = 127,730,471,236
  5. Step 5: Solve for x
    x = 127,730,471,236/175,006
  6. Step 6: Final answer
    x = 729,863.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.