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Finding the Third Proportional to 156,919 and 386,922

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Solution

The third proportional to 156,919 and 386,922 is: 954,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,919 : 386,922 = 386,922 : x
  2. Step 2: Convert to fraction form
    156,919/386,922 = 386,922/x
  3. Step 3: Cross multiply
    156,919x = 386,922 × 386,922
  4. Step 4: Simplify right side
    156,919x = 149,708,634,084
  5. Step 5: Solve for x
    x = 149,708,634,084/156,919
  6. Step 6: Final answer
    x = 954,050.40

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.