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Finding the Third Proportional to 173,117.25 and 260,814.94

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Solution

The third proportional to 173,117.25 and 260,814.94 is: 392,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,117.25 : 260,814.94 = 260,814.94 : x
  2. Step 2: Convert to fraction form
    173,117.25/260,814.94 = 260,814.94/x
  3. Step 3: Cross multiply
    173,117.25x = 260,814.94 × 260,814.94
  4. Step 4: Simplify right side
    173,117.25x = 68,024,431,623.13
  5. Step 5: Solve for x
    x = 68,024,431,623.13/173,117.25
  6. Step 6: Final answer
    x = 392,938.49

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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.