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Finding the Third Proportional to 130,902.75 and 282,480.75

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Solution

The third proportional to 130,902.75 and 282,480.75 is: 609,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,902.75 : 282,480.75 = 282,480.75 : x
  2. Step 2: Convert to fraction form
    130,902.75/282,480.75 = 282,480.75/x
  3. Step 3: Cross multiply
    130,902.75x = 282,480.75 × 282,480.75
  4. Step 4: Simplify right side
    130,902.75x = 79,795,374,120.56
  5. Step 5: Solve for x
    x = 79,795,374,120.56/130,902.75
  6. Step 6: Final answer
    x = 609,577.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.