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Finding the Third Proportional to 236,316.50 and 363,235

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Solution

The third proportional to 236,316.50 and 363,235 is: 558,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,316.50 : 363,235 = 363,235 : x
  2. Step 2: Convert to fraction form
    236,316.50/363,235 = 363,235/x
  3. Step 3: Cross multiply
    236,316.50x = 363,235 × 363,235
  4. Step 4: Simplify right side
    236,316.50x = 131,939,665,225
  5. Step 5: Solve for x
    x = 131,939,665,225/236,316.50
  6. Step 6: Final answer
    x = 558,317.62

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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.