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Finding the Third Proportional to 229,352 and 347,488

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Solution

The third proportional to 229,352 and 347,488 is: 526,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,352 : 347,488 = 347,488 : x
  2. Step 2: Convert to fraction form
    229,352/347,488 = 347,488/x
  3. Step 3: Cross multiply
    229,352x = 347,488 × 347,488
  4. Step 4: Simplify right side
    229,352x = 120,747,910,144
  5. Step 5: Solve for x
    x = 120,747,910,144/229,352
  6. Step 6: Final answer
    x = 526,474.20

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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.