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Finding the Third Proportional to 158,145 and 347,052

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Solution

The third proportional to 158,145 and 347,052 is: 761,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,145 : 347,052 = 347,052 : x
  2. Step 2: Convert to fraction form
    158,145/347,052 = 347,052/x
  3. Step 3: Cross multiply
    158,145x = 347,052 × 347,052
  4. Step 4: Simplify right side
    158,145x = 120,445,090,704
  5. Step 5: Solve for x
    x = 120,445,090,704/158,145
  6. Step 6: Final answer
    x = 761,611.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.