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Finding the Third Proportional to 233,901 and 355,770

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Solution

The third proportional to 233,901 and 355,770 is: 541,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,901 : 355,770 = 355,770 : x
  2. Step 2: Convert to fraction form
    233,901/355,770 = 355,770/x
  3. Step 3: Cross multiply
    233,901x = 355,770 × 355,770
  4. Step 4: Simplify right side
    233,901x = 126,572,292,900
  5. Step 5: Solve for x
    x = 126,572,292,900/233,901
  6. Step 6: Final answer
    x = 541,136.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.