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Finding the Third Proportional to 236,433 and 363,400.50

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Solution

The third proportional to 236,433 and 363,400.50 is: 558,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,433 : 363,400.50 = 363,400.50 : x
  2. Step 2: Convert to fraction form
    236,433/363,400.50 = 363,400.50/x
  3. Step 3: Cross multiply
    236,433x = 363,400.50 × 363,400.50
  4. Step 4: Simplify right side
    236,433x = 132,059,923,400.25
  5. Step 5: Solve for x
    x = 132,059,923,400.25/236,433
  6. Step 6: Final answer
    x = 558,551.15

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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.