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Finding the Third Proportional to 161,248 and 350,102

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Solution

The third proportional to 161,248 and 350,102 is: 760,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,248 : 350,102 = 350,102 : x
  2. Step 2: Convert to fraction form
    161,248/350,102 = 350,102/x
  3. Step 3: Cross multiply
    161,248x = 350,102 × 350,102
  4. Step 4: Simplify right side
    161,248x = 122,571,410,404
  5. Step 5: Solve for x
    x = 122,571,410,404/161,248
  6. Step 6: Final answer
    x = 760,142.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.