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Finding the Third Proportional to 156,732 and 235,440

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Solution

The third proportional to 156,732 and 235,440 is: 353,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,732 : 235,440 = 235,440 : x
  2. Step 2: Convert to fraction form
    156,732/235,440 = 235,440/x
  3. Step 3: Cross multiply
    156,732x = 235,440 × 235,440
  4. Step 4: Simplify right side
    156,732x = 55,431,993,600
  5. Step 5: Solve for x
    x = 55,431,993,600/156,732
  6. Step 6: Final answer
    x = 353,673.75

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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.