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Finding the Third Proportional to 153,002 and 252,848

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Solution

The third proportional to 153,002 and 252,848 is: 417,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,002 : 252,848 = 252,848 : x
  2. Step 2: Convert to fraction form
    153,002/252,848 = 252,848/x
  3. Step 3: Cross multiply
    153,002x = 252,848 × 252,848
  4. Step 4: Simplify right side
    153,002x = 63,932,111,104
  5. Step 5: Solve for x
    x = 63,932,111,104/153,002
  6. Step 6: Final answer
    x = 417,851.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.