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Finding the Third Proportional to 150,762 and 221,646

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Solution

The third proportional to 150,762 and 221,646 is: 325,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,762 : 221,646 = 221,646 : x
  2. Step 2: Convert to fraction form
    150,762/221,646 = 221,646/x
  3. Step 3: Cross multiply
    150,762x = 221,646 × 221,646
  4. Step 4: Simplify right side
    150,762x = 49,126,949,316
  5. Step 5: Solve for x
    x = 49,126,949,316/150,762
  6. Step 6: Final answer
    x = 325,857.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.