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Finding the Third Proportional to 229,041 and 346,072.50

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Solution

The third proportional to 229,041 and 346,072.50 is: 522,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,041 : 346,072.50 = 346,072.50 : x
  2. Step 2: Convert to fraction form
    229,041/346,072.50 = 346,072.50/x
  3. Step 3: Cross multiply
    229,041x = 346,072.50 × 346,072.50
  4. Step 4: Simplify right side
    229,041x = 119,766,175,256.25
  5. Step 5: Solve for x
    x = 119,766,175,256.25/229,041
  6. Step 6: Final answer
    x = 522,902.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.