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Finding the Third Proportional to 235,712 and 356,992

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Solution

The third proportional to 235,712 and 356,992 is: 540,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,712 : 356,992 = 356,992 : x
  2. Step 2: Convert to fraction form
    235,712/356,992 = 356,992/x
  3. Step 3: Cross multiply
    235,712x = 356,992 × 356,992
  4. Step 4: Simplify right side
    235,712x = 127,443,288,064
  5. Step 5: Solve for x
    x = 127,443,288,064/235,712
  6. Step 6: Final answer
    x = 540,673.74

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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.