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Finding the Third Proportional to 201,348 and 282,248

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Solution

The third proportional to 201,348 and 282,248 is: 395,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,348 : 282,248 = 282,248 : x
  2. Step 2: Convert to fraction form
    201,348/282,248 = 282,248/x
  3. Step 3: Cross multiply
    201,348x = 282,248 × 282,248
  4. Step 4: Simplify right side
    201,348x = 79,663,933,504
  5. Step 5: Solve for x
    x = 79,663,933,504/201,348
  6. Step 6: Final answer
    x = 395,652.97

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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.