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Finding the Third Proportional to 163,037 and 243,051

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Solution

The third proportional to 163,037 and 243,051 is: 362,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,037 : 243,051 = 243,051 : x
  2. Step 2: Convert to fraction form
    163,037/243,051 = 243,051/x
  3. Step 3: Cross multiply
    163,037x = 243,051 × 243,051
  4. Step 4: Simplify right side
    163,037x = 59,073,788,601
  5. Step 5: Solve for x
    x = 59,073,788,601/163,037
  6. Step 6: Final answer
    x = 362,333.63

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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.