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Finding the Third Proportional to 170,334.56 and 369,645.75

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Solution

The third proportional to 170,334.56 and 369,645.75 is: 802,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,334.56 : 369,645.75 = 369,645.75 : x
  2. Step 2: Convert to fraction form
    170,334.56/369,645.75 = 369,645.75/x
  3. Step 3: Cross multiply
    170,334.56x = 369,645.75 × 369,645.75
  4. Step 4: Simplify right side
    170,334.56x = 136,637,980,493.06
  5. Step 5: Solve for x
    x = 136,637,980,493.06/170,334.56
  6. Step 6: Final answer
    x = 802,174.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.