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Finding the Third Proportional to 144,199.83 and 310,584.80

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Solution

The third proportional to 144,199.83 and 310,584.80 is: 668,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,199.83 : 310,584.80 = 310,584.80 : x
  2. Step 2: Convert to fraction form
    144,199.83/310,584.80 = 310,584.80/x
  3. Step 3: Cross multiply
    144,199.83x = 310,584.80 × 310,584.80
  4. Step 4: Simplify right side
    144,199.83x = 96,462,916,049.89
  5. Step 5: Solve for x
    x = 96,462,916,049.89/144,199.83
  6. Step 6: Final answer
    x = 668,953.06

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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.