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Finding the Third Proportional to 230,200.50 and 348,855

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Solution

The third proportional to 230,200.50 and 348,855 is: 528,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,200.50 : 348,855 = 348,855 : x
  2. Step 2: Convert to fraction form
    230,200.50/348,855 = 348,855/x
  3. Step 3: Cross multiply
    230,200.50x = 348,855 × 348,855
  4. Step 4: Simplify right side
    230,200.50x = 121,699,811,025
  5. Step 5: Solve for x
    x = 121,699,811,025/230,200.50
  6. Step 6: Final answer
    x = 528,668.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.