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Finding the Third Proportional to 193,776 and 411,003

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Solution

The third proportional to 193,776 and 411,003 is: 871,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,776 : 411,003 = 411,003 : x
  2. Step 2: Convert to fraction form
    193,776/411,003 = 411,003/x
  3. Step 3: Cross multiply
    193,776x = 411,003 × 411,003
  4. Step 4: Simplify right side
    193,776x = 168,923,466,009
  5. Step 5: Solve for x
    x = 168,923,466,009/193,776
  6. Step 6: Final answer
    x = 871,746.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.