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Finding the Third Proportional to 140,056 and 217,225.50

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Solution

The third proportional to 140,056 and 217,225.50 is: 336,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,056 : 217,225.50 = 217,225.50 : x
  2. Step 2: Convert to fraction form
    140,056/217,225.50 = 217,225.50/x
  3. Step 3: Cross multiply
    140,056x = 217,225.50 × 217,225.50
  4. Step 4: Simplify right side
    140,056x = 47,186,917,850.25
  5. Step 5: Solve for x
    x = 47,186,917,850.25/140,056
  6. Step 6: Final answer
    x = 336,914.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.