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Finding the Third Proportional to 237,127.50 and 355,698

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Solution

The third proportional to 237,127.50 and 355,698 is: 533,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,127.50 : 355,698 = 355,698 : x
  2. Step 2: Convert to fraction form
    237,127.50/355,698 = 355,698/x
  3. Step 3: Cross multiply
    237,127.50x = 355,698 × 355,698
  4. Step 4: Simplify right side
    237,127.50x = 126,521,067,204
  5. Step 5: Solve for x
    x = 126,521,067,204/237,127.50
  6. Step 6: Final answer
    x = 533,557.13

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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.