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Finding the Third Proportional to 174,870 and 262,307.25

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Solution

The third proportional to 174,870 and 262,307.25 is: 393,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,870 : 262,307.25 = 262,307.25 : x
  2. Step 2: Convert to fraction form
    174,870/262,307.25 = 262,307.25/x
  3. Step 3: Cross multiply
    174,870x = 262,307.25 × 262,307.25
  4. Step 4: Simplify right side
    174,870x = 68,805,093,402.56
  5. Step 5: Solve for x
    x = 68,805,093,402.56/174,870
  6. Step 6: Final answer
    x = 393,464.25

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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.