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Finding the Third Proportional to 158,123.25 and 347,010

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Solution

The third proportional to 158,123.25 and 347,010 is: 761,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,123.25 : 347,010 = 347,010 : x
  2. Step 2: Convert to fraction form
    158,123.25/347,010 = 347,010/x
  3. Step 3: Cross multiply
    158,123.25x = 347,010 × 347,010
  4. Step 4: Simplify right side
    158,123.25x = 120,415,940,100
  5. Step 5: Solve for x
    x = 120,415,940,100/158,123.25
  6. Step 6: Final answer
    x = 761,532.16

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