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Finding the Third Proportional to 76,346 and 162,838

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Solution

The third proportional to 76,346 and 162,838 is: 347,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346 : 162,838 = 162,838 : x
  2. Step 2: Convert to fraction form
    76,346/162,838 = 162,838/x
  3. Step 3: Cross multiply
    76,346x = 162,838 × 162,838
  4. Step 4: Simplify right side
    76,346x = 26,516,214,244
  5. Step 5: Solve for x
    x = 26,516,214,244/76,346
  6. Step 6: Final answer
    x = 347,316.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.