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Finding the Third Proportional to 151,413 and 318,520

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Solution

The third proportional to 151,413 and 318,520 is: 670,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,413 : 318,520 = 318,520 : x
  2. Step 2: Convert to fraction form
    151,413/318,520 = 318,520/x
  3. Step 3: Cross multiply
    151,413x = 318,520 × 318,520
  4. Step 4: Simplify right side
    151,413x = 101,454,990,400
  5. Step 5: Solve for x
    x = 101,454,990,400/151,413
  6. Step 6: Final answer
    x = 670,054.69

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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.