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Finding the Third Proportional to 151,431.50 and 233,465

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Solution

The third proportional to 151,431.50 and 233,465 is: 359,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,431.50 : 233,465 = 233,465 : x
  2. Step 2: Convert to fraction form
    151,431.50/233,465 = 233,465/x
  3. Step 3: Cross multiply
    151,431.50x = 233,465 × 233,465
  4. Step 4: Simplify right side
    151,431.50x = 54,505,906,225
  5. Step 5: Solve for x
    x = 54,505,906,225/151,431.50
  6. Step 6: Final answer
    x = 359,937.70

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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.