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Finding the Third Proportional to 134,682.13 and 200,855.38

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Solution

The third proportional to 134,682.13 and 200,855.38 is: 299,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,682.13 : 200,855.38 = 200,855.38 : x
  2. Step 2: Convert to fraction form
    134,682.13/200,855.38 = 200,855.38/x
  3. Step 3: Cross multiply
    134,682.13x = 200,855.38 × 200,855.38
  4. Step 4: Simplify right side
    134,682.13x = 40,342,881,666.39
  5. Step 5: Solve for x
    x = 40,342,881,666.39/134,682.13
  6. Step 6: Final answer
    x = 299,541.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.