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Finding the Third Proportional to 138,516.75 and 299,133

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Solution

The third proportional to 138,516.75 and 299,133 is: 645,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,516.75 : 299,133 = 299,133 : x
  2. Step 2: Convert to fraction form
    138,516.75/299,133 = 299,133/x
  3. Step 3: Cross multiply
    138,516.75x = 299,133 × 299,133
  4. Step 4: Simplify right side
    138,516.75x = 89,480,551,689
  5. Step 5: Solve for x
    x = 89,480,551,689/138,516.75
  6. Step 6: Final answer
    x = 645,990.84

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Why These Related Problems?

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