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Finding the Third Proportional to 130,848 and 174,000

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Solution

The third proportional to 130,848 and 174,000 is: 231,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,848 : 174,000 = 174,000 : x
  2. Step 2: Convert to fraction form
    130,848/174,000 = 174,000/x
  3. Step 3: Cross multiply
    130,848x = 174,000 × 174,000
  4. Step 4: Simplify right side
    130,848x = 30,276,000,000
  5. Step 5: Solve for x
    x = 30,276,000,000/130,848
  6. Step 6: Final answer
    x = 231,382.98

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.