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Finding the Third Proportional to 101,690 and 237,551

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Solution

The third proportional to 101,690 and 237,551 is: 554,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,690 : 237,551 = 237,551 : x
  2. Step 2: Convert to fraction form
    101,690/237,551 = 237,551/x
  3. Step 3: Cross multiply
    101,690x = 237,551 × 237,551
  4. Step 4: Simplify right side
    101,690x = 56,430,477,601
  5. Step 5: Solve for x
    x = 56,430,477,601/101,690
  6. Step 6: Final answer
    x = 554,926.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.