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Finding the Third Proportional to 237,307.50 and 367,548.75

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Solution

The third proportional to 237,307.50 and 367,548.75 is: 569,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,307.50 : 367,548.75 = 367,548.75 : x
  2. Step 2: Convert to fraction form
    237,307.50/367,548.75 = 367,548.75/x
  3. Step 3: Cross multiply
    237,307.50x = 367,548.75 × 367,548.75
  4. Step 4: Simplify right side
    237,307.50x = 135,092,083,626.56
  5. Step 5: Solve for x
    x = 135,092,083,626.56/237,307.50
  6. Step 6: Final answer
    x = 569,270.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.