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Finding the Third Proportional to 136,527.19 and 299,298.38

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Solution

The third proportional to 136,527.19 and 299,298.38 is: 656,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,527.19 : 299,298.38 = 299,298.38 : x
  2. Step 2: Convert to fraction form
    136,527.19/299,298.38 = 299,298.38/x
  3. Step 3: Cross multiply
    136,527.19x = 299,298.38 × 299,298.38
  4. Step 4: Simplify right side
    136,527.19x = 89,579,517,277.64
  5. Step 5: Solve for x
    x = 89,579,517,277.64/136,527.19
  6. Step 6: Final answer
    x = 656,129.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.