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Finding the Third Proportional to 170,510 and 370,996

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Solution

The third proportional to 170,510 and 370,996 is: 807,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,510 : 370,996 = 370,996 : x
  2. Step 2: Convert to fraction form
    170,510/370,996 = 370,996/x
  3. Step 3: Cross multiply
    170,510x = 370,996 × 370,996
  4. Step 4: Simplify right side
    170,510x = 137,638,032,016
  5. Step 5: Solve for x
    x = 137,638,032,016/170,510
  6. Step 6: Final answer
    x = 807,213.84

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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.