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Finding the Third Proportional to 169,026 and 253,011

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Solution

The third proportional to 169,026 and 253,011 is: 378,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,026 : 253,011 = 253,011 : x
  2. Step 2: Convert to fraction form
    169,026/253,011 = 253,011/x
  3. Step 3: Cross multiply
    169,026x = 253,011 × 253,011
  4. Step 4: Simplify right side
    169,026x = 64,014,566,121
  5. Step 5: Solve for x
    x = 64,014,566,121/169,026
  6. Step 6: Final answer
    x = 378,726.15

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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.