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Finding the Third Proportional to 143,653.50 and 215,677.69

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Solution

The third proportional to 143,653.50 and 215,677.69 is: 323,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,653.50 : 215,677.69 = 215,677.69 : x
  2. Step 2: Convert to fraction form
    143,653.50/215,677.69 = 215,677.69/x
  3. Step 3: Cross multiply
    143,653.50x = 215,677.69 × 215,677.69
  4. Step 4: Simplify right side
    143,653.50x = 46,516,864,885.35
  5. Step 5: Solve for x
    x = 46,516,864,885.35/143,653.50
  6. Step 6: Final answer
    x = 323,812.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.