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Finding the Third Proportional to 169,535 and 248,219

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Solution

The third proportional to 169,535 and 248,219 is: 363,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,535 : 248,219 = 248,219 : x
  2. Step 2: Convert to fraction form
    169,535/248,219 = 248,219/x
  3. Step 3: Cross multiply
    169,535x = 248,219 × 248,219
  4. Step 4: Simplify right side
    169,535x = 61,612,671,961
  5. Step 5: Solve for x
    x = 61,612,671,961/169,535
  6. Step 6: Final answer
    x = 363,421.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.