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Finding the Third Proportional to 179,622 and 292,021

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Solution

The third proportional to 179,622 and 292,021 is: 474,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,622 : 292,021 = 292,021 : x
  2. Step 2: Convert to fraction form
    179,622/292,021 = 292,021/x
  3. Step 3: Cross multiply
    179,622x = 292,021 × 292,021
  4. Step 4: Simplify right side
    179,622x = 85,276,264,441
  5. Step 5: Solve for x
    x = 85,276,264,441/179,622
  6. Step 6: Final answer
    x = 474,754.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.