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Finding the Third Proportional to 155,766.75 and 233,390.63

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Solution

The third proportional to 155,766.75 and 233,390.63 is: 349,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,766.75 : 233,390.63 = 233,390.63 : x
  2. Step 2: Convert to fraction form
    155,766.75/233,390.63 = 233,390.63/x
  3. Step 3: Cross multiply
    155,766.75x = 233,390.63 × 233,390.63
  4. Step 4: Simplify right side
    155,766.75x = 54,471,183,837.89
  5. Step 5: Solve for x
    x = 54,471,183,837.89/155,766.75
  6. Step 6: Final answer
    x = 349,697.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.