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Finding the Third Proportional to 130,515.75 and 286,242.75

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Solution

The third proportional to 130,515.75 and 286,242.75 is: 627,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,515.75 : 286,242.75 = 286,242.75 : x
  2. Step 2: Convert to fraction form
    130,515.75/286,242.75 = 286,242.75/x
  3. Step 3: Cross multiply
    130,515.75x = 286,242.75 × 286,242.75
  4. Step 4: Simplify right side
    130,515.75x = 81,934,911,927.56
  5. Step 5: Solve for x
    x = 81,934,911,927.56/130,515.75
  6. Step 6: Final answer
    x = 627,777.96

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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.