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Finding the Third Proportional to 164,900 and 250,502

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Solution

The third proportional to 164,900 and 250,502 is: 380,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,900 : 250,502 = 250,502 : x
  2. Step 2: Convert to fraction form
    164,900/250,502 = 250,502/x
  3. Step 3: Cross multiply
    164,900x = 250,502 × 250,502
  4. Step 4: Simplify right side
    164,900x = 62,751,252,004
  5. Step 5: Solve for x
    x = 62,751,252,004/164,900
  6. Step 6: Final answer
    x = 380,541.25

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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.