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Finding the Third Proportional to 186,642 and 286,875

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Solution

The third proportional to 186,642 and 286,875 is: 440,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,642 : 286,875 = 286,875 : x
  2. Step 2: Convert to fraction form
    186,642/286,875 = 286,875/x
  3. Step 3: Cross multiply
    186,642x = 286,875 × 286,875
  4. Step 4: Simplify right side
    186,642x = 82,297,265,625
  5. Step 5: Solve for x
    x = 82,297,265,625/186,642
  6. Step 6: Final answer
    x = 440,936.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.