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Finding the Third Proportional to 129,401 and 282,858.50

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Solution

The third proportional to 129,401 and 282,858.50 is: 618,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,401 : 282,858.50 = 282,858.50 : x
  2. Step 2: Convert to fraction form
    129,401/282,858.50 = 282,858.50/x
  3. Step 3: Cross multiply
    129,401x = 282,858.50 × 282,858.50
  4. Step 4: Simplify right side
    129,401x = 80,008,931,022.25
  5. Step 5: Solve for x
    x = 80,008,931,022.25/129,401
  6. Step 6: Final answer
    x = 618,302.26

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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.