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Finding the Third Proportional to 170,103 and 366,206.25

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Solution

The third proportional to 170,103 and 366,206.25 is: 788,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,103 : 366,206.25 = 366,206.25 : x
  2. Step 2: Convert to fraction form
    170,103/366,206.25 = 366,206.25/x
  3. Step 3: Cross multiply
    170,103x = 366,206.25 × 366,206.25
  4. Step 4: Simplify right side
    170,103x = 134,107,017,539.06
  5. Step 5: Solve for x
    x = 134,107,017,539.06/170,103
  6. Step 6: Final answer
    x = 788,387.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.