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Finding the Third Proportional to 169,050 and 356,964

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Solution

The third proportional to 169,050 and 356,964 is: 753,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,050 : 356,964 = 356,964 : x
  2. Step 2: Convert to fraction form
    169,050/356,964 = 356,964/x
  3. Step 3: Cross multiply
    169,050x = 356,964 × 356,964
  4. Step 4: Simplify right side
    169,050x = 127,423,297,296
  5. Step 5: Solve for x
    x = 127,423,297,296/169,050
  6. Step 6: Final answer
    x = 753,761.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.