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Finding the Third Proportional to 230,263.50 and 355,239

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Solution

The third proportional to 230,263.50 and 355,239 is: 548,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,263.50 : 355,239 = 355,239 : x
  2. Step 2: Convert to fraction form
    230,263.50/355,239 = 355,239/x
  3. Step 3: Cross multiply
    230,263.50x = 355,239 × 355,239
  4. Step 4: Simplify right side
    230,263.50x = 126,194,747,121
  5. Step 5: Solve for x
    x = 126,194,747,121/230,263.50
  6. Step 6: Final answer
    x = 548,044.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.