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Finding the Third Proportional to 229,077 and 349,532

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Solution

The third proportional to 229,077 and 349,532 is: 533,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077 : 349,532 = 349,532 : x
  2. Step 2: Convert to fraction form
    229,077/349,532 = 349,532/x
  3. Step 3: Cross multiply
    229,077x = 349,532 × 349,532
  4. Step 4: Simplify right side
    229,077x = 122,172,619,024
  5. Step 5: Solve for x
    x = 122,172,619,024/229,077
  6. Step 6: Final answer
    x = 533,325.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.