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Finding the Third Proportional to 160,516 and 238,462

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Solution

The third proportional to 160,516 and 238,462 is: 354,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,516 : 238,462 = 238,462 : x
  2. Step 2: Convert to fraction form
    160,516/238,462 = 238,462/x
  3. Step 3: Cross multiply
    160,516x = 238,462 × 238,462
  4. Step 4: Simplify right side
    160,516x = 56,864,125,444
  5. Step 5: Solve for x
    x = 56,864,125,444/160,516
  6. Step 6: Final answer
    x = 354,258.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.