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Finding the Third Proportional to 170,804.25 and 271,412.63

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Solution

The third proportional to 170,804.25 and 271,412.63 is: 431,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,804.25 : 271,412.63 = 271,412.63 : x
  2. Step 2: Convert to fraction form
    170,804.25/271,412.63 = 271,412.63/x
  3. Step 3: Cross multiply
    170,804.25x = 271,412.63 × 271,412.63
  4. Step 4: Simplify right side
    170,804.25x = 73,664,813,009.39
  5. Step 5: Solve for x
    x = 73,664,813,009.39/170,804.25
  6. Step 6: Final answer
    x = 431,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.