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Finding the Third Proportional to 186,822 and 282,443

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Solution

The third proportional to 186,822 and 282,443 is: 427,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,822 : 282,443 = 282,443 : x
  2. Step 2: Convert to fraction form
    186,822/282,443 = 282,443/x
  3. Step 3: Cross multiply
    186,822x = 282,443 × 282,443
  4. Step 4: Simplify right side
    186,822x = 79,774,048,249
  5. Step 5: Solve for x
    x = 79,774,048,249/186,822
  6. Step 6: Final answer
    x = 427,005.64

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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.