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Finding the Third Proportional to 114,186 and 162,294

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Solution

The third proportional to 114,186 and 162,294 is: 230,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,186 : 162,294 = 162,294 : x
  2. Step 2: Convert to fraction form
    114,186/162,294 = 162,294/x
  3. Step 3: Cross multiply
    114,186x = 162,294 × 162,294
  4. Step 4: Simplify right side
    114,186x = 26,339,342,436
  5. Step 5: Solve for x
    x = 26,339,342,436/114,186
  6. Step 6: Final answer
    x = 230,670.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.