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Finding the Third Proportional to 201,467 and 282,409

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Solution

The third proportional to 201,467 and 282,409 is: 395,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,467 : 282,409 = 282,409 : x
  2. Step 2: Convert to fraction form
    201,467/282,409 = 282,409/x
  3. Step 3: Cross multiply
    201,467x = 282,409 × 282,409
  4. Step 4: Simplify right side
    201,467x = 79,754,843,281
  5. Step 5: Solve for x
    x = 79,754,843,281/201,467
  6. Step 6: Final answer
    x = 395,870.51

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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.