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Finding the Third Proportional to 155,765.53 and 233,388.84

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Solution

The third proportional to 155,765.53 and 233,388.84 is: 349,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,765.53 : 233,388.84 = 233,388.84 : x
  2. Step 2: Convert to fraction form
    155,765.53/233,388.84 = 233,388.84/x
  3. Step 3: Cross multiply
    155,765.53x = 233,388.84 × 233,388.84
  4. Step 4: Simplify right side
    155,765.53x = 54,470,352,386.96
  5. Step 5: Solve for x
    x = 54,470,352,386.96/155,765.53
  6. Step 6: Final answer
    x = 349,694.52

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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.