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Finding the Third Proportional to 169,025 and 253,009

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Solution

The third proportional to 169,025 and 253,009 is: 378,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,025 : 253,009 = 253,009 : x
  2. Step 2: Convert to fraction form
    169,025/253,009 = 253,009/x
  3. Step 3: Cross multiply
    169,025x = 253,009 × 253,009
  4. Step 4: Simplify right side
    169,025x = 64,013,554,081
  5. Step 5: Solve for x
    x = 64,013,554,081/169,025
  6. Step 6: Final answer
    x = 378,722.40

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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.