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Finding the Third Proportional to 129,775.50 and 282,271.50

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Solution

The third proportional to 129,775.50 and 282,271.50 is: 613,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,775.50 : 282,271.50 = 282,271.50 : x
  2. Step 2: Convert to fraction form
    129,775.50/282,271.50 = 282,271.50/x
  3. Step 3: Cross multiply
    129,775.50x = 282,271.50 × 282,271.50
  4. Step 4: Simplify right side
    129,775.50x = 79,677,199,712.25
  5. Step 5: Solve for x
    x = 79,677,199,712.25/129,775.50
  6. Step 6: Final answer
    x = 613,961.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.