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Finding the Third Proportional to 66,700 and 157,449

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Solution

The third proportional to 66,700 and 157,449 is: 371,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,700 : 157,449 = 157,449 : x
  2. Step 2: Convert to fraction form
    66,700/157,449 = 157,449/x
  3. Step 3: Cross multiply
    66,700x = 157,449 × 157,449
  4. Step 4: Simplify right side
    66,700x = 24,790,187,601
  5. Step 5: Solve for x
    x = 24,790,187,601/66,700
  6. Step 6: Final answer
    x = 371,666.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.