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Finding the Third Proportional to 155,823.75 and 334,923.75

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Solution

The third proportional to 155,823.75 and 334,923.75 is: 719,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,823.75 : 334,923.75 = 334,923.75 : x
  2. Step 2: Convert to fraction form
    155,823.75/334,923.75 = 334,923.75/x
  3. Step 3: Cross multiply
    155,823.75x = 334,923.75 × 334,923.75
  4. Step 4: Simplify right side
    155,823.75x = 112,173,918,314.06
  5. Step 5: Solve for x
    x = 112,173,918,314.06/155,823.75
  6. Step 6: Final answer
    x = 719,876.90

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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.