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Finding the Third Proportional to 230,833 and 345,329.50

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Solution

The third proportional to 230,833 and 345,329.50 is: 516,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,833 : 345,329.50 = 345,329.50 : x
  2. Step 2: Convert to fraction form
    230,833/345,329.50 = 345,329.50/x
  3. Step 3: Cross multiply
    230,833x = 345,329.50 × 345,329.50
  4. Step 4: Simplify right side
    230,833x = 119,252,463,570.25
  5. Step 5: Solve for x
    x = 119,252,463,570.25/230,833
  6. Step 6: Final answer
    x = 516,617.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.