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Finding the Third Proportional to 168,291 and 357,354

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Solution

The third proportional to 168,291 and 357,354 is: 758,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,291 : 357,354 = 357,354 : x
  2. Step 2: Convert to fraction form
    168,291/357,354 = 357,354/x
  3. Step 3: Cross multiply
    168,291x = 357,354 × 357,354
  4. Step 4: Simplify right side
    168,291x = 127,701,881,316
  5. Step 5: Solve for x
    x = 127,701,881,316/168,291
  6. Step 6: Final answer
    x = 758,815.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.