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Finding the Third Proportional to 142,888.50 and 226,062

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Solution

The third proportional to 142,888.50 and 226,062 is: 357,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,888.50 : 226,062 = 226,062 : x
  2. Step 2: Convert to fraction form
    142,888.50/226,062 = 226,062/x
  3. Step 3: Cross multiply
    142,888.50x = 226,062 × 226,062
  4. Step 4: Simplify right side
    142,888.50x = 51,104,027,844
  5. Step 5: Solve for x
    x = 51,104,027,844/142,888.50
  6. Step 6: Final answer
    x = 357,649.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.