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Finding the Third Proportional to 130,467.38 and 201,593.81

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Solution

The third proportional to 130,467.38 and 201,593.81 is: 311,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,467.38 : 201,593.81 = 201,593.81 : x
  2. Step 2: Convert to fraction form
    130,467.38/201,593.81 = 201,593.81/x
  3. Step 3: Cross multiply
    130,467.38x = 201,593.81 × 201,593.81
  4. Step 4: Simplify right side
    130,467.38x = 40,640,065,238.29
  5. Step 5: Solve for x
    x = 40,640,065,238.29/130,467.38
  6. Step 6: Final answer
    x = 311,496.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.