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Finding the Third Proportional to 235,798.50 and 333,330

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Solution

The third proportional to 235,798.50 and 333,330 is: 471,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,798.50 : 333,330 = 333,330 : x
  2. Step 2: Convert to fraction form
    235,798.50/333,330 = 333,330/x
  3. Step 3: Cross multiply
    235,798.50x = 333,330 × 333,330
  4. Step 4: Simplify right side
    235,798.50x = 111,108,888,900
  5. Step 5: Solve for x
    x = 111,108,888,900/235,798.50
  6. Step 6: Final answer
    x = 471,202.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.