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Finding the Third Proportional to 186,824 and 282,446

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Solution

The third proportional to 186,824 and 282,446 is: 427,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,824 : 282,446 = 282,446 : x
  2. Step 2: Convert to fraction form
    186,824/282,446 = 282,446/x
  3. Step 3: Cross multiply
    186,824x = 282,446 × 282,446
  4. Step 4: Simplify right side
    186,824x = 79,775,742,916
  5. Step 5: Solve for x
    x = 79,775,742,916/186,824
  6. Step 6: Final answer
    x = 427,010.14

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Why These Related Problems?

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