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Finding the Third Proportional to 229,304.25 and 347,419.13

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Solution

The third proportional to 229,304.25 and 347,419.13 is: 526,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,304.25 : 347,419.13 = 347,419.13 : x
  2. Step 2: Convert to fraction form
    229,304.25/347,419.13 = 347,419.13/x
  3. Step 3: Cross multiply
    229,304.25x = 347,419.13 × 347,419.13
  4. Step 4: Simplify right side
    229,304.25x = 120,700,048,415.77
  5. Step 5: Solve for x
    x = 120,700,048,415.77/229,304.25
  6. Step 6: Final answer
    x = 526,375.10

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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.