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Finding the Third Proportional to 88,174 and 190,287

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Solution

The third proportional to 88,174 and 190,287 is: 410,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,174 : 190,287 = 190,287 : x
  2. Step 2: Convert to fraction form
    88,174/190,287 = 190,287/x
  3. Step 3: Cross multiply
    88,174x = 190,287 × 190,287
  4. Step 4: Simplify right side
    88,174x = 36,209,142,369
  5. Step 5: Solve for x
    x = 36,209,142,369/88,174
  6. Step 6: Final answer
    x = 410,655.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.