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Finding the Third Proportional to 155,458.50 and 236,229

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Solution

The third proportional to 155,458.50 and 236,229 is: 358,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,458.50 : 236,229 = 236,229 : x
  2. Step 2: Convert to fraction form
    155,458.50/236,229 = 236,229/x
  3. Step 3: Cross multiply
    155,458.50x = 236,229 × 236,229
  4. Step 4: Simplify right side
    155,458.50x = 55,804,140,441
  5. Step 5: Solve for x
    x = 55,804,140,441/155,458.50
  6. Step 6: Final answer
    x = 358,964.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.