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Finding the Third Proportional to 68,644 and 150,410

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Solution

The third proportional to 68,644 and 150,410 is: 329,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,644 : 150,410 = 150,410 : x
  2. Step 2: Convert to fraction form
    68,644/150,410 = 150,410/x
  3. Step 3: Cross multiply
    68,644x = 150,410 × 150,410
  4. Step 4: Simplify right side
    68,644x = 22,623,168,100
  5. Step 5: Solve for x
    x = 22,623,168,100/68,644
  6. Step 6: Final answer
    x = 329,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.