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Finding the Third Proportional to 186,410 and 285,879

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Solution

The third proportional to 186,410 and 285,879 is: 438,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,410 : 285,879 = 285,879 : x
  2. Step 2: Convert to fraction form
    186,410/285,879 = 285,879/x
  3. Step 3: Cross multiply
    186,410x = 285,879 × 285,879
  4. Step 4: Simplify right side
    186,410x = 81,726,802,641
  5. Step 5: Solve for x
    x = 81,726,802,641/186,410
  6. Step 6: Final answer
    x = 438,424.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.