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Finding the Third Proportional to 134,452 and 282,664

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Solution

The third proportional to 134,452 and 282,664 is: 594,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,452 : 282,664 = 282,664 : x
  2. Step 2: Convert to fraction form
    134,452/282,664 = 282,664/x
  3. Step 3: Cross multiply
    134,452x = 282,664 × 282,664
  4. Step 4: Simplify right side
    134,452x = 79,898,936,896
  5. Step 5: Solve for x
    x = 79,898,936,896/134,452
  6. Step 6: Final answer
    x = 594,256.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.