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Finding the Third Proportional to 201,376 and 282,282

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Solution

The third proportional to 201,376 and 282,282 is: 395,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,376 : 282,282 = 282,282 : x
  2. Step 2: Convert to fraction form
    201,376/282,282 = 282,282/x
  3. Step 3: Cross multiply
    201,376x = 282,282 × 282,282
  4. Step 4: Simplify right side
    201,376x = 79,683,127,524
  5. Step 5: Solve for x
    x = 79,683,127,524/201,376
  6. Step 6: Final answer
    x = 395,693.27

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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.