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Finding the Third Proportional to 155,284 and 334,340

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Solution

The third proportional to 155,284 and 334,340 is: 719,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,284 : 334,340 = 334,340 : x
  2. Step 2: Convert to fraction form
    155,284/334,340 = 334,340/x
  3. Step 3: Cross multiply
    155,284x = 334,340 × 334,340
  4. Step 4: Simplify right side
    155,284x = 111,783,235,600
  5. Step 5: Solve for x
    x = 111,783,235,600/155,284
  6. Step 6: Final answer
    x = 719,863.19

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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.