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Finding the Third Proportional to 231,388 and 349,994

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Solution

The third proportional to 231,388 and 349,994 is: 529,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,388 : 349,994 = 349,994 : x
  2. Step 2: Convert to fraction form
    231,388/349,994 = 349,994/x
  3. Step 3: Cross multiply
    231,388x = 349,994 × 349,994
  4. Step 4: Simplify right side
    231,388x = 122,495,800,036
  5. Step 5: Solve for x
    x = 122,495,800,036/231,388
  6. Step 6: Final answer
    x = 529,395.65

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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.