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Finding the Third Proportional to 187,758 and 410,346

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Solution

The third proportional to 187,758 and 410,346 is: 896,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,758 : 410,346 = 410,346 : x
  2. Step 2: Convert to fraction form
    187,758/410,346 = 410,346/x
  3. Step 3: Cross multiply
    187,758x = 410,346 × 410,346
  4. Step 4: Simplify right side
    187,758x = 168,383,839,716
  5. Step 5: Solve for x
    x = 168,383,839,716/187,758
  6. Step 6: Final answer
    x = 896,813.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.