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Finding the Third Proportional to 155,158 and 221,467.50

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Solution

The third proportional to 155,158 and 221,467.50 is: 316,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,158 : 221,467.50 = 221,467.50 : x
  2. Step 2: Convert to fraction form
    155,158/221,467.50 = 221,467.50/x
  3. Step 3: Cross multiply
    155,158x = 221,467.50 × 221,467.50
  4. Step 4: Simplify right side
    155,158x = 49,047,853,556.25
  5. Step 5: Solve for x
    x = 49,047,853,556.25/155,158
  6. Step 6: Final answer
    x = 316,115.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.