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Finding the Third Proportional to 156,727 and 235,089

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Solution

The third proportional to 156,727 and 235,089 is: 352,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,727 : 235,089 = 235,089 : x
  2. Step 2: Convert to fraction form
    156,727/235,089 = 235,089/x
  3. Step 3: Cross multiply
    156,727x = 235,089 × 235,089
  4. Step 4: Simplify right side
    156,727x = 55,266,837,921
  5. Step 5: Solve for x
    x = 55,266,837,921/156,727
  6. Step 6: Final answer
    x = 352,631.25

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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.