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Finding the Third Proportional to 158,072.50 and 237,111

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Solution

The third proportional to 158,072.50 and 237,111 is: 355,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,072.50 : 237,111 = 237,111 : x
  2. Step 2: Convert to fraction form
    158,072.50/237,111 = 237,111/x
  3. Step 3: Cross multiply
    158,072.50x = 237,111 × 237,111
  4. Step 4: Simplify right side
    158,072.50x = 56,221,626,321
  5. Step 5: Solve for x
    x = 56,221,626,321/158,072.50
  6. Step 6: Final answer
    x = 355,669.88

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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.