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Finding the Third Proportional to 151,468 and 318,605

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Solution

The third proportional to 151,468 and 318,605 is: 670,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,468 : 318,605 = 318,605 : x
  2. Step 2: Convert to fraction form
    151,468/318,605 = 318,605/x
  3. Step 3: Cross multiply
    151,468x = 318,605 × 318,605
  4. Step 4: Simplify right side
    151,468x = 101,509,146,025
  5. Step 5: Solve for x
    x = 101,509,146,025/151,468
  6. Step 6: Final answer
    x = 670,168.92

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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.