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Finding the Third Proportional to 173,126.11 and 258,994.34

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Solution

The third proportional to 173,126.11 and 258,994.34 is: 387,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,126.11 : 258,994.34 = 258,994.34 : x
  2. Step 2: Convert to fraction form
    173,126.11/258,994.34 = 258,994.34/x
  3. Step 3: Cross multiply
    173,126.11x = 258,994.34 × 258,994.34
  4. Step 4: Simplify right side
    173,126.11x = 67,078,066,047.71
  5. Step 5: Solve for x
    x = 67,078,066,047.71/173,126.11
  6. Step 6: Final answer
    x = 387,452.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.