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Finding the Third Proportional to 170,329.13 and 369,635.06

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Solution

The third proportional to 170,329.13 and 369,635.06 is: 802,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,329.13 : 369,635.06 = 369,635.06 : x
  2. Step 2: Convert to fraction form
    170,329.13/369,635.06 = 369,635.06/x
  3. Step 3: Cross multiply
    170,329.13x = 369,635.06 × 369,635.06
  4. Step 4: Simplify right side
    170,329.13x = 136,630,079,429.38
  5. Step 5: Solve for x
    x = 136,630,079,429.38/170,329.13
  6. Step 6: Final answer
    x = 802,153.36

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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.