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Finding the Third Proportional to 79,688 and 187,844

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Solution

The third proportional to 79,688 and 187,844 is: 442,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,688 : 187,844 = 187,844 : x
  2. Step 2: Convert to fraction form
    79,688/187,844 = 187,844/x
  3. Step 3: Cross multiply
    79,688x = 187,844 × 187,844
  4. Step 4: Simplify right side
    79,688x = 35,285,368,336
  5. Step 5: Solve for x
    x = 35,285,368,336/79,688
  6. Step 6: Final answer
    x = 442,794.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.