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Finding the Third Proportional to 144,960 and 293,998.50

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Solution

The third proportional to 144,960 and 293,998.50 is: 596,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,960 : 293,998.50 = 293,998.50 : x
  2. Step 2: Convert to fraction form
    144,960/293,998.50 = 293,998.50/x
  3. Step 3: Cross multiply
    144,960x = 293,998.50 × 293,998.50
  4. Step 4: Simplify right side
    144,960x = 86,435,118,002.25
  5. Step 5: Solve for x
    x = 86,435,118,002.25/144,960
  6. Step 6: Final answer
    x = 596,268.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.