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Finding the Third Proportional to 150,547 and 233,234

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Solution

The third proportional to 150,547 and 233,234 is: 361,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547 : 233,234 = 233,234 : x
  2. Step 2: Convert to fraction form
    150,547/233,234 = 233,234/x
  3. Step 3: Cross multiply
    150,547x = 233,234 × 233,234
  4. Step 4: Simplify right side
    150,547x = 54,398,098,756
  5. Step 5: Solve for x
    x = 54,398,098,756/150,547
  6. Step 6: Final answer
    x = 361,336.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.