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Finding the Third Proportional to 229,347 and 347,467.50

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Solution

The third proportional to 229,347 and 347,467.50 is: 526,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,347 : 347,467.50 = 347,467.50 : x
  2. Step 2: Convert to fraction form
    229,347/347,467.50 = 347,467.50/x
  3. Step 3: Cross multiply
    229,347x = 347,467.50 × 347,467.50
  4. Step 4: Simplify right side
    229,347x = 120,733,663,556.25
  5. Step 5: Solve for x
    x = 120,733,663,556.25/229,347
  6. Step 6: Final answer
    x = 526,423.56

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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.