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Finding the Third Proportional to 151,467 and 318,601.50

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Solution

The third proportional to 151,467 and 318,601.50 is: 670,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,467 : 318,601.50 = 318,601.50 : x
  2. Step 2: Convert to fraction form
    151,467/318,601.50 = 318,601.50/x
  3. Step 3: Cross multiply
    151,467x = 318,601.50 × 318,601.50
  4. Step 4: Simplify right side
    151,467x = 101,506,915,802.25
  5. Step 5: Solve for x
    x = 101,506,915,802.25/151,467
  6. Step 6: Final answer
    x = 670,158.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.