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Finding the Third Proportional to 140,313 and 298,153.50

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Solution

The third proportional to 140,313 and 298,153.50 is: 633,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,313 : 298,153.50 = 298,153.50 : x
  2. Step 2: Convert to fraction form
    140,313/298,153.50 = 298,153.50/x
  3. Step 3: Cross multiply
    140,313x = 298,153.50 × 298,153.50
  4. Step 4: Simplify right side
    140,313x = 88,895,509,562.25
  5. Step 5: Solve for x
    x = 88,895,509,562.25/140,313
  6. Step 6: Final answer
    x = 633,551.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.