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Finding the Third Proportional to 201,752 and 282,750

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Solution

The third proportional to 201,752 and 282,750 is: 396,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,752 : 282,750 = 282,750 : x
  2. Step 2: Convert to fraction form
    201,752/282,750 = 282,750/x
  3. Step 3: Cross multiply
    201,752x = 282,750 × 282,750
  4. Step 4: Simplify right side
    201,752x = 79,947,562,500
  5. Step 5: Solve for x
    x = 79,947,562,500/201,752
  6. Step 6: Final answer
    x = 396,266.52

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