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Finding the Third Proportional to 170,343.84 and 368,901.84

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Solution

The third proportional to 170,343.84 and 368,901.84 is: 798,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,343.84 : 368,901.84 = 368,901.84 : x
  2. Step 2: Convert to fraction form
    170,343.84/368,901.84 = 368,901.84/x
  3. Step 3: Cross multiply
    170,343.84x = 368,901.84 × 368,901.84
  4. Step 4: Simplify right side
    170,343.84x = 136,088,570,322.15
  5. Step 5: Solve for x
    x = 136,088,570,322.15/170,343.84
  6. Step 6: Final answer
    x = 798,905.13

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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.