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Finding the Third Proportional to 170,604 and 258,255

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Solution

The third proportional to 170,604 and 258,255 is: 390,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,604 : 258,255 = 258,255 : x
  2. Step 2: Convert to fraction form
    170,604/258,255 = 258,255/x
  3. Step 3: Cross multiply
    170,604x = 258,255 × 258,255
  4. Step 4: Simplify right side
    170,604x = 66,695,645,025
  5. Step 5: Solve for x
    x = 66,695,645,025/170,604
  6. Step 6: Final answer
    x = 390,938.34

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