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Finding the Third Proportional to 229,356 and 347,494

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Solution

The third proportional to 229,356 and 347,494 is: 526,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,356 : 347,494 = 347,494 : x
  2. Step 2: Convert to fraction form
    229,356/347,494 = 347,494/x
  3. Step 3: Cross multiply
    229,356x = 347,494 × 347,494
  4. Step 4: Simplify right side
    229,356x = 120,752,080,036
  5. Step 5: Solve for x
    x = 120,752,080,036/229,356
  6. Step 6: Final answer
    x = 526,483.20

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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.