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Finding the Third Proportional to 150,552.74 and 216,397.67

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Solution

The third proportional to 150,552.74 and 216,397.67 is: 311,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,552.74 : 216,397.67 = 216,397.67 : x
  2. Step 2: Convert to fraction form
    150,552.74/216,397.67 = 216,397.67/x
  3. Step 3: Cross multiply
    150,552.74x = 216,397.67 × 216,397.67
  4. Step 4: Simplify right side
    150,552.74x = 46,827,951,547.62
  5. Step 5: Solve for x
    x = 46,827,951,547.62/150,552.74
  6. Step 6: Final answer
    x = 311,040.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.