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Finding the Third Proportional to 151,534.50 and 237,714.75

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Solution

The third proportional to 151,534.50 and 237,714.75 is: 372,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,534.50 : 237,714.75 = 237,714.75 : x
  2. Step 2: Convert to fraction form
    151,534.50/237,714.75 = 237,714.75/x
  3. Step 3: Cross multiply
    151,534.50x = 237,714.75 × 237,714.75
  4. Step 4: Simplify right side
    151,534.50x = 56,508,302,367.56
  5. Step 5: Solve for x
    x = 56,508,302,367.56/151,534.50
  6. Step 6: Final answer
    x = 372,907.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.