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Finding the Third Proportional to 150,061.69 and 228,903.75

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Solution

The third proportional to 150,061.69 and 228,903.75 is: 349,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,061.69 : 228,903.75 = 228,903.75 : x
  2. Step 2: Convert to fraction form
    150,061.69/228,903.75 = 228,903.75/x
  3. Step 3: Cross multiply
    150,061.69x = 228,903.75 × 228,903.75
  4. Step 4: Simplify right side
    150,061.69x = 52,396,926,764.06
  5. Step 5: Solve for x
    x = 52,396,926,764.06/150,061.69
  6. Step 6: Final answer
    x = 349,169.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.