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Finding the Third Proportional to 156,744 and 238,784

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Solution

The third proportional to 156,744 and 238,784 is: 363,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 238,784 = 238,784 : x
  2. Step 2: Convert to fraction form
    156,744/238,784 = 238,784/x
  3. Step 3: Cross multiply
    156,744x = 238,784 × 238,784
  4. Step 4: Simplify right side
    156,744x = 57,017,798,656
  5. Step 5: Solve for x
    x = 57,017,798,656/156,744
  6. Step 6: Final answer
    x = 363,763.84

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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.