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Finding the Third Proportional to 155,262 and 334,308

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Solution

The third proportional to 155,262 and 334,308 is: 719,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,262 : 334,308 = 334,308 : x
  2. Step 2: Convert to fraction form
    155,262/334,308 = 334,308/x
  3. Step 3: Cross multiply
    155,262x = 334,308 × 334,308
  4. Step 4: Simplify right side
    155,262x = 111,761,838,864
  5. Step 5: Solve for x
    x = 111,761,838,864/155,262
  6. Step 6: Final answer
    x = 719,827.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.