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Finding the Third Proportional to 236,260 and 363,140

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Solution

The third proportional to 236,260 and 363,140 is: 558,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,260 : 363,140 = 363,140 : x
  2. Step 2: Convert to fraction form
    236,260/363,140 = 363,140/x
  3. Step 3: Cross multiply
    236,260x = 363,140 × 363,140
  4. Step 4: Simplify right side
    236,260x = 131,870,659,600
  5. Step 5: Solve for x
    x = 131,870,659,600/236,260
  6. Step 6: Final answer
    x = 558,159.06

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