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Finding the Third Proportional to 201,748 and 282,089

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Solution

The third proportional to 201,748 and 282,089 is: 394,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748 : 282,089 = 282,089 : x
  2. Step 2: Convert to fraction form
    201,748/282,089 = 282,089/x
  3. Step 3: Cross multiply
    201,748x = 282,089 × 282,089
  4. Step 4: Simplify right side
    201,748x = 79,574,203,921
  5. Step 5: Solve for x
    x = 79,574,203,921/201,748
  6. Step 6: Final answer
    x = 394,423.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.