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Finding the Third Proportional to 164,298 and 247,174

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Solution

The third proportional to 164,298 and 247,174 is: 371,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,298 : 247,174 = 247,174 : x
  2. Step 2: Convert to fraction form
    164,298/247,174 = 247,174/x
  3. Step 3: Cross multiply
    164,298x = 247,174 × 247,174
  4. Step 4: Simplify right side
    164,298x = 61,094,986,276
  5. Step 5: Solve for x
    x = 61,094,986,276/164,298
  6. Step 6: Final answer
    x = 371,854.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.