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Finding the Third Proportional to 152,563.50 and 236,034

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Solution

The third proportional to 152,563.50 and 236,034 is: 365,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,563.50 : 236,034 = 236,034 : x
  2. Step 2: Convert to fraction form
    152,563.50/236,034 = 236,034/x
  3. Step 3: Cross multiply
    152,563.50x = 236,034 × 236,034
  4. Step 4: Simplify right side
    152,563.50x = 55,712,049,156
  5. Step 5: Solve for x
    x = 55,712,049,156/152,563.50
  6. Step 6: Final answer
    x = 365,172.86

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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.