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Finding the Third Proportional to 236,475 and 347,800.50

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Solution

The third proportional to 236,475 and 347,800.50 is: 511,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,475 : 347,800.50 = 347,800.50 : x
  2. Step 2: Convert to fraction form
    236,475/347,800.50 = 347,800.50/x
  3. Step 3: Cross multiply
    236,475x = 347,800.50 × 347,800.50
  4. Step 4: Simplify right side
    236,475x = 120,965,187,800.25
  5. Step 5: Solve for x
    x = 120,965,187,800.25/236,475
  6. Step 6: Final answer
    x = 511,534.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.