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Finding the Third Proportional to 129,360.13 and 282,768.25

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Solution

The third proportional to 129,360.13 and 282,768.25 is: 618,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,360.13 : 282,768.25 = 282,768.25 : x
  2. Step 2: Convert to fraction form
    129,360.13/282,768.25 = 282,768.25/x
  3. Step 3: Cross multiply
    129,360.13x = 282,768.25 × 282,768.25
  4. Step 4: Simplify right side
    129,360.13x = 79,957,883,208.06
  5. Step 5: Solve for x
    x = 79,957,883,208.06/129,360.13
  6. Step 6: Final answer
    x = 618,103.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.