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Finding the Third Proportional to 152,610.75 and 330,645

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Solution

The third proportional to 152,610.75 and 330,645 is: 716,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,610.75 : 330,645 = 330,645 : x
  2. Step 2: Convert to fraction form
    152,610.75/330,645 = 330,645/x
  3. Step 3: Cross multiply
    152,610.75x = 330,645 × 330,645
  4. Step 4: Simplify right side
    152,610.75x = 109,326,116,025
  5. Step 5: Solve for x
    x = 109,326,116,025/152,610.75
  6. Step 6: Final answer
    x = 716,372.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.