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Finding the Third Proportional to 169,440 and 253,338

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Solution

The third proportional to 169,440 and 253,338 is: 378,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,440 : 253,338 = 253,338 : x
  2. Step 2: Convert to fraction form
    169,440/253,338 = 253,338/x
  3. Step 3: Cross multiply
    169,440x = 253,338 × 253,338
  4. Step 4: Simplify right side
    169,440x = 64,180,142,244
  5. Step 5: Solve for x
    x = 64,180,142,244/169,440
  6. Step 6: Final answer
    x = 378,777.99

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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.