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Finding the Third Proportional to 157,558 and 235,787

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Solution

The third proportional to 157,558 and 235,787 is: 352,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,558 : 235,787 = 235,787 : x
  2. Step 2: Convert to fraction form
    157,558/235,787 = 235,787/x
  3. Step 3: Cross multiply
    157,558x = 235,787 × 235,787
  4. Step 4: Simplify right side
    157,558x = 55,595,509,369
  5. Step 5: Solve for x
    x = 55,595,509,369/157,558
  6. Step 6: Final answer
    x = 352,857.42

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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.