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Finding the Third Proportional to 231,292.50 and 346,938

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Solution

The third proportional to 231,292.50 and 346,938 is: 520,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,292.50 : 346,938 = 346,938 : x
  2. Step 2: Convert to fraction form
    231,292.50/346,938 = 346,938/x
  3. Step 3: Cross multiply
    231,292.50x = 346,938 × 346,938
  4. Step 4: Simplify right side
    231,292.50x = 120,365,975,844
  5. Step 5: Solve for x
    x = 120,365,975,844/231,292.50
  6. Step 6: Final answer
    x = 520,405.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.