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Finding the Third Proportional to 153,714 and 330,390

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Solution

The third proportional to 153,714 and 330,390 is: 710,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714 : 330,390 = 330,390 : x
  2. Step 2: Convert to fraction form
    153,714/330,390 = 330,390/x
  3. Step 3: Cross multiply
    153,714x = 330,390 × 330,390
  4. Step 4: Simplify right side
    153,714x = 109,157,552,100
  5. Step 5: Solve for x
    x = 109,157,552,100/153,714
  6. Step 6: Final answer
    x = 710,134.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.