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Finding the Third Proportional to 152,416 and 334,344

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Solution

The third proportional to 152,416 and 334,344 is: 733,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,416 : 334,344 = 334,344 : x
  2. Step 2: Convert to fraction form
    152,416/334,344 = 334,344/x
  3. Step 3: Cross multiply
    152,416x = 334,344 × 334,344
  4. Step 4: Simplify right side
    152,416x = 111,785,910,336
  5. Step 5: Solve for x
    x = 111,785,910,336/152,416
  6. Step 6: Final answer
    x = 733,426.35

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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.