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Finding the Third Proportional to 86,284 and 176,750

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Solution

The third proportional to 86,284 and 176,750 is: 362,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,284 : 176,750 = 176,750 : x
  2. Step 2: Convert to fraction form
    86,284/176,750 = 176,750/x
  3. Step 3: Cross multiply
    86,284x = 176,750 × 176,750
  4. Step 4: Simplify right side
    86,284x = 31,240,562,500
  5. Step 5: Solve for x
    x = 31,240,562,500/86,284
  6. Step 6: Final answer
    x = 362,066.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.