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Finding the Third Proportional to 277,167 and 418,246.50

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Solution

The third proportional to 277,167 and 418,246.50 is: 631,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,167 : 418,246.50 = 418,246.50 : x
  2. Step 2: Convert to fraction form
    277,167/418,246.50 = 418,246.50/x
  3. Step 3: Cross multiply
    277,167x = 418,246.50 × 418,246.50
  4. Step 4: Simplify right side
    277,167x = 174,930,134,762.25
  5. Step 5: Solve for x
    x = 174,930,134,762.25/277,167
  6. Step 6: Final answer
    x = 631,136.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.