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Finding the Third Proportional to 154,245 and 233,310

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Solution

The third proportional to 154,245 and 233,310 is: 352,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,245 : 233,310 = 233,310 : x
  2. Step 2: Convert to fraction form
    154,245/233,310 = 233,310/x
  3. Step 3: Cross multiply
    154,245x = 233,310 × 233,310
  4. Step 4: Simplify right side
    154,245x = 54,433,556,100
  5. Step 5: Solve for x
    x = 54,433,556,100/154,245
  6. Step 6: Final answer
    x = 352,903.21

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Why These Related Problems?

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