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Finding the Third Proportional to 187,811 and 286,363

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Solution

The third proportional to 187,811 and 286,363 is: 436,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,811 : 286,363 = 286,363 : x
  2. Step 2: Convert to fraction form
    187,811/286,363 = 286,363/x
  3. Step 3: Cross multiply
    187,811x = 286,363 × 286,363
  4. Step 4: Simplify right side
    187,811x = 82,003,767,769
  5. Step 5: Solve for x
    x = 82,003,767,769/187,811
  6. Step 6: Final answer
    x = 436,629.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.