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Finding the Third Proportional to 156,540 and 235,527

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Solution

The third proportional to 156,540 and 235,527 is: 354,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,540 : 235,527 = 235,527 : x
  2. Step 2: Convert to fraction form
    156,540/235,527 = 235,527/x
  3. Step 3: Cross multiply
    156,540x = 235,527 × 235,527
  4. Step 4: Simplify right side
    156,540x = 55,472,967,729
  5. Step 5: Solve for x
    x = 55,472,967,729/156,540
  6. Step 6: Final answer
    x = 354,369.28

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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.