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Finding the Third Proportional to 237,330 and 366,468

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Solution

The third proportional to 237,330 and 366,468 is: 565,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,330 : 366,468 = 366,468 : x
  2. Step 2: Convert to fraction form
    237,330/366,468 = 366,468/x
  3. Step 3: Cross multiply
    237,330x = 366,468 × 366,468
  4. Step 4: Simplify right side
    237,330x = 134,298,795,024
  5. Step 5: Solve for x
    x = 134,298,795,024/237,330
  6. Step 6: Final answer
    x = 565,873.66

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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.