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Finding the Third Proportional to 155,811.94 and 334,900.13

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Solution

The third proportional to 155,811.94 and 334,900.13 is: 719,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,811.94 : 334,900.13 = 334,900.13 : x
  2. Step 2: Convert to fraction form
    155,811.94/334,900.13 = 334,900.13/x
  3. Step 3: Cross multiply
    155,811.94x = 334,900.13 × 334,900.13
  4. Step 4: Simplify right side
    155,811.94x = 112,158,093,725.02
  5. Step 5: Solve for x
    x = 112,158,093,725.02/155,811.94
  6. Step 6: Final answer
    x = 719,829.91

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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.