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Finding the Third Proportional to 156,745 and 238,789

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Solution

The third proportional to 156,745 and 238,789 is: 363,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,745 : 238,789 = 238,789 : x
  2. Step 2: Convert to fraction form
    156,745/238,789 = 238,789/x
  3. Step 3: Cross multiply
    156,745x = 238,789 × 238,789
  4. Step 4: Simplify right side
    156,745x = 57,020,186,521
  5. Step 5: Solve for x
    x = 57,020,186,521/156,745
  6. Step 6: Final answer
    x = 363,776.75

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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.