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Finding the Third Proportional to 237,780 and 347,922

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Solution

The third proportional to 237,780 and 347,922 is: 509,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,780 : 347,922 = 347,922 : x
  2. Step 2: Convert to fraction form
    237,780/347,922 = 347,922/x
  3. Step 3: Cross multiply
    237,780x = 347,922 × 347,922
  4. Step 4: Simplify right side
    237,780x = 121,049,718,084
  5. Step 5: Solve for x
    x = 121,049,718,084/237,780
  6. Step 6: Final answer
    x = 509,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.