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Finding the Third Proportional to 161,901 and 241,186.50

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Solution

The third proportional to 161,901 and 241,186.50 is: 359,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,901 : 241,186.50 = 241,186.50 : x
  2. Step 2: Convert to fraction form
    161,901/241,186.50 = 241,186.50/x
  3. Step 3: Cross multiply
    161,901x = 241,186.50 × 241,186.50
  4. Step 4: Simplify right side
    161,901x = 58,170,927,782.25
  5. Step 5: Solve for x
    x = 58,170,927,782.25/161,901
  6. Step 6: Final answer
    x = 359,299.37

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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.