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Finding the Third Proportional to 227,372 and 341,052

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Solution

The third proportional to 227,372 and 341,052 is: 511,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,372 : 341,052 = 341,052 : x
  2. Step 2: Convert to fraction form
    227,372/341,052 = 341,052/x
  3. Step 3: Cross multiply
    227,372x = 341,052 × 341,052
  4. Step 4: Simplify right side
    227,372x = 116,316,466,704
  5. Step 5: Solve for x
    x = 116,316,466,704/227,372
  6. Step 6: Final answer
    x = 511,569.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.