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Finding the Third Proportional to 238,064 and 347,982

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Solution

The third proportional to 238,064 and 347,982 is: 508,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,064 : 347,982 = 347,982 : x
  2. Step 2: Convert to fraction form
    238,064/347,982 = 347,982/x
  3. Step 3: Cross multiply
    238,064x = 347,982 × 347,982
  4. Step 4: Simplify right side
    238,064x = 121,091,472,324
  5. Step 5: Solve for x
    x = 121,091,472,324/238,064
  6. Step 6: Final answer
    x = 508,650.92

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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.