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Finding the Third Proportional to 231,354 and 349,948.50

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Solution

The third proportional to 231,354 and 349,948.50 is: 529,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,354 : 349,948.50 = 349,948.50 : x
  2. Step 2: Convert to fraction form
    231,354/349,948.50 = 349,948.50/x
  3. Step 3: Cross multiply
    231,354x = 349,948.50 × 349,948.50
  4. Step 4: Simplify right side
    231,354x = 122,463,952,652.25
  5. Step 5: Solve for x
    x = 122,463,952,652.25/231,354
  6. Step 6: Final answer
    x = 529,335.79

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