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Finding the Third Proportional to 170,511 and 358,698

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Solution

The third proportional to 170,511 and 358,698 is: 754,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,511 : 358,698 = 358,698 : x
  2. Step 2: Convert to fraction form
    170,511/358,698 = 358,698/x
  3. Step 3: Cross multiply
    170,511x = 358,698 × 358,698
  4. Step 4: Simplify right side
    170,511x = 128,664,255,204
  5. Step 5: Solve for x
    x = 128,664,255,204/170,511
  6. Step 6: Final answer
    x = 754,580.38

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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.