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Finding the Third Proportional to 170,064 and 370,749

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Solution

The third proportional to 170,064 and 370,749 is: 808,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,064 : 370,749 = 370,749 : x
  2. Step 2: Convert to fraction form
    170,064/370,749 = 370,749/x
  3. Step 3: Cross multiply
    170,064x = 370,749 × 370,749
  4. Step 4: Simplify right side
    170,064x = 137,454,821,001
  5. Step 5: Solve for x
    x = 137,454,821,001/170,064
  6. Step 6: Final answer
    x = 808,253.49

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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.