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Finding the Third Proportional to 109,784 and 224,347

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Solution

The third proportional to 109,784 and 224,347 is: 458,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,784 : 224,347 = 224,347 : x
  2. Step 2: Convert to fraction form
    109,784/224,347 = 224,347/x
  3. Step 3: Cross multiply
    109,784x = 224,347 × 224,347
  4. Step 4: Simplify right side
    109,784x = 50,331,576,409
  5. Step 5: Solve for x
    x = 50,331,576,409/109,784
  6. Step 6: Final answer
    x = 458,460.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.