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Finding the Third Proportional to 130,617.56 and 286,147.69

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Solution

The third proportional to 130,617.56 and 286,147.69 is: 626,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,617.56 : 286,147.69 = 286,147.69 : x
  2. Step 2: Convert to fraction form
    130,617.56/286,147.69 = 286,147.69/x
  3. Step 3: Cross multiply
    130,617.56x = 286,147.69 × 286,147.69
  4. Step 4: Simplify right side
    130,617.56x = 81,880,499,061.60
  5. Step 5: Solve for x
    x = 81,880,499,061.60/130,617.56
  6. Step 6: Final answer
    x = 626,872.05

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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.