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Finding the Third Proportional to 169,088 and 253,097

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Solution

The third proportional to 169,088 and 253,097 is: 378,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,088 : 253,097 = 253,097 : x
  2. Step 2: Convert to fraction form
    169,088/253,097 = 253,097/x
  3. Step 3: Cross multiply
    169,088x = 253,097 × 253,097
  4. Step 4: Simplify right side
    169,088x = 64,058,091,409
  5. Step 5: Solve for x
    x = 64,058,091,409/169,088
  6. Step 6: Final answer
    x = 378,844.69

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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.