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Finding the Third Proportional to 153,242 and 237,836

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Solution

The third proportional to 153,242 and 237,836 is: 369,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,242 : 237,836 = 237,836 : x
  2. Step 2: Convert to fraction form
    153,242/237,836 = 237,836/x
  3. Step 3: Cross multiply
    153,242x = 237,836 × 237,836
  4. Step 4: Simplify right side
    153,242x = 56,565,962,896
  5. Step 5: Solve for x
    x = 56,565,962,896/153,242
  6. Step 6: Final answer
    x = 369,128.33

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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.