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Finding the Third Proportional to 118,428.19 and 182,034

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Solution

The third proportional to 118,428.19 and 182,034 is: 279,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,428.19 : 182,034 = 182,034 : x
  2. Step 2: Convert to fraction form
    118,428.19/182,034 = 182,034/x
  3. Step 3: Cross multiply
    118,428.19x = 182,034 × 182,034
  4. Step 4: Simplify right side
    118,428.19x = 33,136,377,156
  5. Step 5: Solve for x
    x = 33,136,377,156/118,428.19
  6. Step 6: Final answer
    x = 279,801.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.