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Finding the Third Proportional to 169,632 and 370,044

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Solution

The third proportional to 169,632 and 370,044 is: 807,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,632 : 370,044 = 370,044 : x
  2. Step 2: Convert to fraction form
    169,632/370,044 = 370,044/x
  3. Step 3: Cross multiply
    169,632x = 370,044 × 370,044
  4. Step 4: Simplify right side
    169,632x = 136,932,561,936
  5. Step 5: Solve for x
    x = 136,932,561,936/169,632
  6. Step 6: Final answer
    x = 807,233.08

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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.