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Finding the Third Proportional to 179,616 and 292,012

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Solution

The third proportional to 179,616 and 292,012 is: 474,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,616 : 292,012 = 292,012 : x
  2. Step 2: Convert to fraction form
    179,616/292,012 = 292,012/x
  3. Step 3: Cross multiply
    179,616x = 292,012 × 292,012
  4. Step 4: Simplify right side
    179,616x = 85,271,008,144
  5. Step 5: Solve for x
    x = 85,271,008,144/179,616
  6. Step 6: Final answer
    x = 474,740.60

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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.