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Finding the Third Proportional to 186,938 and 282,637

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Solution

The third proportional to 186,938 and 282,637 is: 427,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,938 : 282,637 = 282,637 : x
  2. Step 2: Convert to fraction form
    186,938/282,637 = 282,637/x
  3. Step 3: Cross multiply
    186,938x = 282,637 × 282,637
  4. Step 4: Simplify right side
    186,938x = 79,883,673,769
  5. Step 5: Solve for x
    x = 79,883,673,769/186,938
  6. Step 6: Final answer
    x = 427,327.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.