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Finding the Third Proportional to 89,312 and 187,816

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Solution

The third proportional to 89,312 and 187,816 is: 394,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,312 : 187,816 = 187,816 : x
  2. Step 2: Convert to fraction form
    89,312/187,816 = 187,816/x
  3. Step 3: Cross multiply
    89,312x = 187,816 × 187,816
  4. Step 4: Simplify right side
    89,312x = 35,274,849,856
  5. Step 5: Solve for x
    x = 35,274,849,856/89,312
  6. Step 6: Final answer
    x = 394,962.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.