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Finding the Third Proportional to 153,933 and 236,450

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Solution

The third proportional to 153,933 and 236,450 is: 363,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,933 : 236,450 = 236,450 : x
  2. Step 2: Convert to fraction form
    153,933/236,450 = 236,450/x
  3. Step 3: Cross multiply
    153,933x = 236,450 × 236,450
  4. Step 4: Simplify right side
    153,933x = 55,908,602,500
  5. Step 5: Solve for x
    x = 55,908,602,500/153,933
  6. Step 6: Final answer
    x = 363,200.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.