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Finding the Third Proportional to 173,114.72 and 258,980.10

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Solution

The third proportional to 173,114.72 and 258,980.10 is: 387,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,114.72 : 258,980.10 = 258,980.10 : x
  2. Step 2: Convert to fraction form
    173,114.72/258,980.10 = 258,980.10/x
  3. Step 3: Cross multiply
    173,114.72x = 258,980.10 × 258,980.10
  4. Step 4: Simplify right side
    173,114.72x = 67,070,690,982.04
  5. Step 5: Solve for x
    x = 67,070,690,982.04/173,114.72
  6. Step 6: Final answer
    x = 387,434.94

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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.