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Finding the Third Proportional to 144,167.34 and 218,403.84

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Solution

The third proportional to 144,167.34 and 218,403.84 is: 330,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,167.34 : 218,403.84 = 218,403.84 : x
  2. Step 2: Convert to fraction form
    144,167.34/218,403.84 = 218,403.84/x
  3. Step 3: Cross multiply
    144,167.34x = 218,403.84 × 218,403.84
  4. Step 4: Simplify right side
    144,167.34x = 47,700,238,964.77
  5. Step 5: Solve for x
    x = 47,700,238,964.77/144,167.34
  6. Step 6: Final answer
    x = 330,867.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.