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Finding the Third Proportional to 155,281 and 334,338

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Solution

The third proportional to 155,281 and 334,338 is: 719,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,281 : 334,338 = 334,338 : x
  2. Step 2: Convert to fraction form
    155,281/334,338 = 334,338/x
  3. Step 3: Cross multiply
    155,281x = 334,338 × 334,338
  4. Step 4: Simplify right side
    155,281x = 111,781,898,244
  5. Step 5: Solve for x
    x = 111,781,898,244/155,281
  6. Step 6: Final answer
    x = 719,868.49

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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.