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Finding the Third Proportional to 237,948 and 326,272

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Solution

The third proportional to 237,948 and 326,272 is: 447,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,948 : 326,272 = 326,272 : x
  2. Step 2: Convert to fraction form
    237,948/326,272 = 326,272/x
  3. Step 3: Cross multiply
    237,948x = 326,272 × 326,272
  4. Step 4: Simplify right side
    237,948x = 106,453,417,984
  5. Step 5: Solve for x
    x = 106,453,417,984/237,948
  6. Step 6: Final answer
    x = 447,381.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.