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Finding the Third Proportional to 170,051.63 and 371,188.13

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Solution

The third proportional to 170,051.63 and 371,188.13 is: 810,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,051.63 : 371,188.13 = 371,188.13 : x
  2. Step 2: Convert to fraction form
    170,051.63/371,188.13 = 371,188.13/x
  3. Step 3: Cross multiply
    170,051.63x = 371,188.13 × 371,188.13
  4. Step 4: Simplify right side
    170,051.63x = 137,780,624,141.02
  5. Step 5: Solve for x
    x = 137,780,624,141.02/170,051.63
  6. Step 6: Final answer
    x = 810,228.21

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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.