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Finding the Third Proportional to 229,522 and 350,889

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Solution

The third proportional to 229,522 and 350,889 is: 536,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,522 : 350,889 = 350,889 : x
  2. Step 2: Convert to fraction form
    229,522/350,889 = 350,889/x
  3. Step 3: Cross multiply
    229,522x = 350,889 × 350,889
  4. Step 4: Simplify right side
    229,522x = 123,123,090,321
  5. Step 5: Solve for x
    x = 123,123,090,321/229,522
  6. Step 6: Final answer
    x = 536,432.63

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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.