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Finding the Third Proportional to 124,223 and 268,119

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Solution

The third proportional to 124,223 and 268,119 is: 578,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,223 : 268,119 = 268,119 : x
  2. Step 2: Convert to fraction form
    124,223/268,119 = 268,119/x
  3. Step 3: Cross multiply
    124,223x = 268,119 × 268,119
  4. Step 4: Simplify right side
    124,223x = 71,887,798,161
  5. Step 5: Solve for x
    x = 71,887,798,161/124,223
  6. Step 6: Final answer
    x = 578,699.58

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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.