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Finding the Third Proportional to 158,652 and 346,243.50

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Solution

The third proportional to 158,652 and 346,243.50 is: 755,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,652 : 346,243.50 = 346,243.50 : x
  2. Step 2: Convert to fraction form
    158,652/346,243.50 = 346,243.50/x
  3. Step 3: Cross multiply
    158,652x = 346,243.50 × 346,243.50
  4. Step 4: Simplify right side
    158,652x = 119,884,561,292.25
  5. Step 5: Solve for x
    x = 119,884,561,292.25/158,652
  6. Step 6: Final answer
    x = 755,644.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.