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Finding the Third Proportional to 156,517 and 233,855

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Solution

The third proportional to 156,517 and 233,855 is: 349,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,517 : 233,855 = 233,855 : x
  2. Step 2: Convert to fraction form
    156,517/233,855 = 233,855/x
  3. Step 3: Cross multiply
    156,517x = 233,855 × 233,855
  4. Step 4: Simplify right side
    156,517x = 54,688,161,025
  5. Step 5: Solve for x
    x = 54,688,161,025/156,517
  6. Step 6: Final answer
    x = 349,407.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.