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Finding the Third Proportional to 226,017 and 341,941.50

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Solution

The third proportional to 226,017 and 341,941.50 is: 517,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,017 : 341,941.50 = 341,941.50 : x
  2. Step 2: Convert to fraction form
    226,017/341,941.50 = 341,941.50/x
  3. Step 3: Cross multiply
    226,017x = 341,941.50 × 341,941.50
  4. Step 4: Simplify right side
    226,017x = 116,923,989,422.25
  5. Step 5: Solve for x
    x = 116,923,989,422.25/226,017
  6. Step 6: Final answer
    x = 517,323.87

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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.