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Finding the Third Proportional to 170,341 and 358,337

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Solution

The third proportional to 170,341 and 358,337 is: 753,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,341 : 358,337 = 358,337 : x
  2. Step 2: Convert to fraction form
    170,341/358,337 = 358,337/x
  3. Step 3: Cross multiply
    170,341x = 358,337 × 358,337
  4. Step 4: Simplify right side
    170,341x = 128,405,405,569
  5. Step 5: Solve for x
    x = 128,405,405,569/170,341
  6. Step 6: Final answer
    x = 753,813.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.