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Finding the Third Proportional to 130,465.13 and 283,069.13

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Solution

The third proportional to 130,465.13 and 283,069.13 is: 614,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,465.13 : 283,069.13 = 283,069.13 : x
  2. Step 2: Convert to fraction form
    130,465.13/283,069.13 = 283,069.13/x
  3. Step 3: Cross multiply
    130,465.13x = 283,069.13 × 283,069.13
  4. Step 4: Simplify right side
    130,465.13x = 80,128,129,528.27
  5. Step 5: Solve for x
    x = 80,128,129,528.27/130,465.13
  6. Step 6: Final answer
    x = 614,172.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.