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Finding the Third Proportional to 163,038 and 343,772

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Solution

The third proportional to 163,038 and 343,772 is: 724,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,038 : 343,772 = 343,772 : x
  2. Step 2: Convert to fraction form
    163,038/343,772 = 343,772/x
  3. Step 3: Cross multiply
    163,038x = 343,772 × 343,772
  4. Step 4: Simplify right side
    163,038x = 118,179,187,984
  5. Step 5: Solve for x
    x = 118,179,187,984/163,038
  6. Step 6: Final answer
    x = 724,856.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.