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Finding the Third Proportional to 110,572 and 238,424

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Solution

The third proportional to 110,572 and 238,424 is: 514,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,572 : 238,424 = 238,424 : x
  2. Step 2: Convert to fraction form
    110,572/238,424 = 238,424/x
  3. Step 3: Cross multiply
    110,572x = 238,424 × 238,424
  4. Step 4: Simplify right side
    110,572x = 56,846,003,776
  5. Step 5: Solve for x
    x = 56,846,003,776/110,572
  6. Step 6: Final answer
    x = 514,108.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.