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Finding the Third Proportional to 237,475.50 and 367,239

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Solution

The third proportional to 237,475.50 and 367,239 is: 567,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,475.50 : 367,239 = 367,239 : x
  2. Step 2: Convert to fraction form
    237,475.50/367,239 = 367,239/x
  3. Step 3: Cross multiply
    237,475.50x = 367,239 × 367,239
  4. Step 4: Simplify right side
    237,475.50x = 134,864,483,121
  5. Step 5: Solve for x
    x = 134,864,483,121/237,475.50
  6. Step 6: Final answer
    x = 567,909.04

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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.