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Finding the Third Proportional to 170,800.50 and 243,308.25

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Solution

The third proportional to 170,800.50 and 243,308.25 is: 346,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,800.50 : 243,308.25 = 243,308.25 : x
  2. Step 2: Convert to fraction form
    170,800.50/243,308.25 = 243,308.25/x
  3. Step 3: Cross multiply
    170,800.50x = 243,308.25 × 243,308.25
  4. Step 4: Simplify right side
    170,800.50x = 59,198,904,518.06
  5. Step 5: Solve for x
    x = 59,198,904,518.06/170,800.50
  6. Step 6: Final answer
    x = 346,596.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.