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Finding the Third Proportional to 232,938 and 349,047

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Solution

The third proportional to 232,938 and 349,047 is: 523,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,938 : 349,047 = 349,047 : x
  2. Step 2: Convert to fraction form
    232,938/349,047 = 349,047/x
  3. Step 3: Cross multiply
    232,938x = 349,047 × 349,047
  4. Step 4: Simplify right side
    232,938x = 121,833,808,209
  5. Step 5: Solve for x
    x = 121,833,808,209/232,938
  6. Step 6: Final answer
    x = 523,031.06

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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.