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Finding the Third Proportional to 151,455 and 233,500.50

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Solution

The third proportional to 151,455 and 233,500.50 is: 359,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,455 : 233,500.50 = 233,500.50 : x
  2. Step 2: Convert to fraction form
    151,455/233,500.50 = 233,500.50/x
  3. Step 3: Cross multiply
    151,455x = 233,500.50 × 233,500.50
  4. Step 4: Simplify right side
    151,455x = 54,522,483,500.25
  5. Step 5: Solve for x
    x = 54,522,483,500.25/151,455
  6. Step 6: Final answer
    x = 359,991.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.