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Finding the Third Proportional to 158,094 and 237,142

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Solution

The third proportional to 158,094 and 237,142 is: 355,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,094 : 237,142 = 237,142 : x
  2. Step 2: Convert to fraction form
    158,094/237,142 = 237,142/x
  3. Step 3: Cross multiply
    158,094x = 237,142 × 237,142
  4. Step 4: Simplify right side
    158,094x = 56,236,328,164
  5. Step 5: Solve for x
    x = 56,236,328,164/158,094
  6. Step 6: Final answer
    x = 355,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.