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Finding the Third Proportional to 151,013 and 221,442.50

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Solution

The third proportional to 151,013 and 221,442.50 is: 324,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,013 : 221,442.50 = 221,442.50 : x
  2. Step 2: Convert to fraction form
    151,013/221,442.50 = 221,442.50/x
  3. Step 3: Cross multiply
    151,013x = 221,442.50 × 221,442.50
  4. Step 4: Simplify right side
    151,013x = 49,036,780,806.25
  5. Step 5: Solve for x
    x = 49,036,780,806.25/151,013
  6. Step 6: Final answer
    x = 324,718.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.