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Finding the Third Proportional to 238,066 and 347,985

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Solution

The third proportional to 238,066 and 347,985 is: 508,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,066 : 347,985 = 347,985 : x
  2. Step 2: Convert to fraction form
    238,066/347,985 = 347,985/x
  3. Step 3: Cross multiply
    238,066x = 347,985 × 347,985
  4. Step 4: Simplify right side
    238,066x = 121,093,560,225
  5. Step 5: Solve for x
    x = 121,093,560,225/238,066
  6. Step 6: Final answer
    x = 508,655.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.