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Finding the Third Proportional to 144,885 and 230,541

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Solution

The third proportional to 144,885 and 230,541 is: 366,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,885 : 230,541 = 230,541 : x
  2. Step 2: Convert to fraction form
    144,885/230,541 = 230,541/x
  3. Step 3: Cross multiply
    144,885x = 230,541 × 230,541
  4. Step 4: Simplify right side
    144,885x = 53,149,152,681
  5. Step 5: Solve for x
    x = 53,149,152,681/144,885
  6. Step 6: Final answer
    x = 366,836.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.