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Finding the Third Proportional to 169,871 and 254,778

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Solution

The third proportional to 169,871 and 254,778 is: 382,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,871 : 254,778 = 254,778 : x
  2. Step 2: Convert to fraction form
    169,871/254,778 = 254,778/x
  3. Step 3: Cross multiply
    169,871x = 254,778 × 254,778
  4. Step 4: Simplify right side
    169,871x = 64,911,829,284
  5. Step 5: Solve for x
    x = 64,911,829,284/169,871
  6. Step 6: Final answer
    x = 382,124.25

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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.