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Finding the Third Proportional to 152,405 and 330,235

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Solution

The third proportional to 152,405 and 330,235 is: 715,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405 : 330,235 = 330,235 : x
  2. Step 2: Convert to fraction form
    152,405/330,235 = 330,235/x
  3. Step 3: Cross multiply
    152,405x = 330,235 × 330,235
  4. Step 4: Simplify right side
    152,405x = 109,055,155,225
  5. Step 5: Solve for x
    x = 109,055,155,225/152,405
  6. Step 6: Final answer
    x = 715,561.53

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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.