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Finding the Third Proportional to 170,490 and 258,099

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Solution

The third proportional to 170,490 and 258,099 is: 390,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,490 : 258,099 = 258,099 : x
  2. Step 2: Convert to fraction form
    170,490/258,099 = 258,099/x
  3. Step 3: Cross multiply
    170,490x = 258,099 × 258,099
  4. Step 4: Simplify right side
    170,490x = 66,615,093,801
  5. Step 5: Solve for x
    x = 66,615,093,801/170,490
  6. Step 6: Final answer
    x = 390,727.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.