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Finding the Third Proportional to 152,468 and 334,380

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Solution

The third proportional to 152,468 and 334,380 is: 733,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,468 : 334,380 = 334,380 : x
  2. Step 2: Convert to fraction form
    152,468/334,380 = 334,380/x
  3. Step 3: Cross multiply
    152,468x = 334,380 × 334,380
  4. Step 4: Simplify right side
    152,468x = 111,809,984,400
  5. Step 5: Solve for x
    x = 111,809,984,400/152,468
  6. Step 6: Final answer
    x = 733,334.11

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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.