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Finding the Third Proportional to 123,158 and 265,963

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Solution

The third proportional to 123,158 and 265,963 is: 574,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,158 : 265,963 = 265,963 : x
  2. Step 2: Convert to fraction form
    123,158/265,963 = 265,963/x
  3. Step 3: Cross multiply
    123,158x = 265,963 × 265,963
  4. Step 4: Simplify right side
    123,158x = 70,736,317,369
  5. Step 5: Solve for x
    x = 70,736,317,369/123,158
  6. Step 6: Final answer
    x = 574,354.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.