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Finding the Third Proportional to 169,778 and 262,053

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Solution

The third proportional to 169,778 and 262,053 is: 404,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,778 : 262,053 = 262,053 : x
  2. Step 2: Convert to fraction form
    169,778/262,053 = 262,053/x
  3. Step 3: Cross multiply
    169,778x = 262,053 × 262,053
  4. Step 4: Simplify right side
    169,778x = 68,671,774,809
  5. Step 5: Solve for x
    x = 68,671,774,809/169,778
  6. Step 6: Final answer
    x = 404,479.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.