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Finding the Third Proportional to 150,714 and 210,720

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Solution

The third proportional to 150,714 and 210,720 is: 294,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,714 : 210,720 = 210,720 : x
  2. Step 2: Convert to fraction form
    150,714/210,720 = 210,720/x
  3. Step 3: Cross multiply
    150,714x = 210,720 × 210,720
  4. Step 4: Simplify right side
    150,714x = 44,402,918,400
  5. Step 5: Solve for x
    x = 44,402,918,400/150,714
  6. Step 6: Final answer
    x = 294,617.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.