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Finding the Third Proportional to 156,764 and 238,428

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Solution

The third proportional to 156,764 and 238,428 is: 362,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,764 : 238,428 = 238,428 : x
  2. Step 2: Convert to fraction form
    156,764/238,428 = 238,428/x
  3. Step 3: Cross multiply
    156,764x = 238,428 × 238,428
  4. Step 4: Simplify right side
    156,764x = 56,847,911,184
  5. Step 5: Solve for x
    x = 56,847,911,184/156,764
  6. Step 6: Final answer
    x = 362,633.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.