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Finding the Third Proportional to 229,306 and 347,422

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Solution

The third proportional to 229,306 and 347,422 is: 526,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,306 : 347,422 = 347,422 : x
  2. Step 2: Convert to fraction form
    229,306/347,422 = 347,422/x
  3. Step 3: Cross multiply
    229,306x = 347,422 × 347,422
  4. Step 4: Simplify right side
    229,306x = 120,702,046,084
  5. Step 5: Solve for x
    x = 120,702,046,084/229,306
  6. Step 6: Final answer
    x = 526,379.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.