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Finding the Third Proportional to 164,850 and 250,443

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Solution

The third proportional to 164,850 and 250,443 is: 380,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,850 : 250,443 = 250,443 : x
  2. Step 2: Convert to fraction form
    164,850/250,443 = 250,443/x
  3. Step 3: Cross multiply
    164,850x = 250,443 × 250,443
  4. Step 4: Simplify right side
    164,850x = 62,721,696,249
  5. Step 5: Solve for x
    x = 62,721,696,249/164,850
  6. Step 6: Final answer
    x = 380,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.