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Finding the Third Proportional to 151,665.75 and 229,381.50

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Solution

The third proportional to 151,665.75 and 229,381.50 is: 346,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,665.75 : 229,381.50 = 229,381.50 : x
  2. Step 2: Convert to fraction form
    151,665.75/229,381.50 = 229,381.50/x
  3. Step 3: Cross multiply
    151,665.75x = 229,381.50 × 229,381.50
  4. Step 4: Simplify right side
    151,665.75x = 52,615,872,542.25
  5. Step 5: Solve for x
    x = 52,615,872,542.25/151,665.75
  6. Step 6: Final answer
    x = 346,919.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.