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Finding the Third Proportional to 152,338 and 334,214

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Solution

The third proportional to 152,338 and 334,214 is: 733,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,338 : 334,214 = 334,214 : x
  2. Step 2: Convert to fraction form
    152,338/334,214 = 334,214/x
  3. Step 3: Cross multiply
    152,338x = 334,214 × 334,214
  4. Step 4: Simplify right side
    152,338x = 111,698,997,796
  5. Step 5: Solve for x
    x = 111,698,997,796/152,338
  6. Step 6: Final answer
    x = 733,231.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.