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Finding the Third Proportional to 157,585.50 and 235,821.38

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Solution

The third proportional to 157,585.50 and 235,821.38 is: 352,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,585.50 : 235,821.38 = 235,821.38 : x
  2. Step 2: Convert to fraction form
    157,585.50/235,821.38 = 235,821.38/x
  3. Step 3: Cross multiply
    157,585.50x = 235,821.38 × 235,821.38
  4. Step 4: Simplify right side
    157,585.50x = 55,611,720,906.89
  5. Step 5: Solve for x
    x = 55,611,720,906.89/157,585.50
  6. Step 6: Final answer
    x = 352,898.72

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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.