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Finding the Third Proportional to 170,044 and 369,896

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Solution

The third proportional to 170,044 and 369,896 is: 804,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,044 : 369,896 = 369,896 : x
  2. Step 2: Convert to fraction form
    170,044/369,896 = 369,896/x
  3. Step 3: Cross multiply
    170,044x = 369,896 × 369,896
  4. Step 4: Simplify right side
    170,044x = 136,823,050,816
  5. Step 5: Solve for x
    x = 136,823,050,816/170,044
  6. Step 6: Final answer
    x = 804,633.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.