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Finding the Third Proportional to 197,350.50 and 415,330.50

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Solution

The third proportional to 197,350.50 and 415,330.50 is: 874,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,350.50 : 415,330.50 = 415,330.50 : x
  2. Step 2: Convert to fraction form
    197,350.50/415,330.50 = 415,330.50/x
  3. Step 3: Cross multiply
    197,350.50x = 415,330.50 × 415,330.50
  4. Step 4: Simplify right side
    197,350.50x = 172,499,424,230.25
  5. Step 5: Solve for x
    x = 172,499,424,230.25/197,350.50
  6. Step 6: Final answer
    x = 874,076.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.