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Finding the Third Proportional to 169,018 and 253,002

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Solution

The third proportional to 169,018 and 253,002 is: 378,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,018 : 253,002 = 253,002 : x
  2. Step 2: Convert to fraction form
    169,018/253,002 = 253,002/x
  3. Step 3: Cross multiply
    169,018x = 253,002 × 253,002
  4. Step 4: Simplify right side
    169,018x = 64,010,012,004
  5. Step 5: Solve for x
    x = 64,010,012,004/169,018
  6. Step 6: Final answer
    x = 378,717.13

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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.