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Finding the Third Proportional to 117,114 and 260,431

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Solution

The third proportional to 117,114 and 260,431 is: 579,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114 : 260,431 = 260,431 : x
  2. Step 2: Convert to fraction form
    117,114/260,431 = 260,431/x
  3. Step 3: Cross multiply
    117,114x = 260,431 × 260,431
  4. Step 4: Simplify right side
    117,114x = 67,824,305,761
  5. Step 5: Solve for x
    x = 67,824,305,761/117,114
  6. Step 6: Final answer
    x = 579,130.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.