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Finding the Third Proportional to 153,008 and 237,504

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Solution

The third proportional to 153,008 and 237,504 is: 368,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,008 : 237,504 = 237,504 : x
  2. Step 2: Convert to fraction form
    153,008/237,504 = 237,504/x
  3. Step 3: Cross multiply
    153,008x = 237,504 × 237,504
  4. Step 4: Simplify right side
    153,008x = 56,408,150,016
  5. Step 5: Solve for x
    x = 56,408,150,016/153,008
  6. Step 6: Final answer
    x = 368,661.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.