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Finding the Third Proportional to 157,586.50 and 235,823

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Solution

The third proportional to 157,586.50 and 235,823 is: 352,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586.50 : 235,823 = 235,823 : x
  2. Step 2: Convert to fraction form
    157,586.50/235,823 = 235,823/x
  3. Step 3: Cross multiply
    157,586.50x = 235,823 × 235,823
  4. Step 4: Simplify right side
    157,586.50x = 55,612,487,329
  5. Step 5: Solve for x
    x = 55,612,487,329/157,586.50
  6. Step 6: Final answer
    x = 352,901.34

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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.