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Finding the Third Proportional to 124,212 and 268,266.38

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Solution

The third proportional to 124,212 and 268,266.38 is: 579,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,212 : 268,266.38 = 268,266.38 : x
  2. Step 2: Convert to fraction form
    124,212/268,266.38 = 268,266.38/x
  3. Step 3: Cross multiply
    124,212x = 268,266.38 × 268,266.38
  4. Step 4: Simplify right side
    124,212x = 71,966,847,955.64
  5. Step 5: Solve for x
    x = 71,966,847,955.64/124,212
  6. Step 6: Final answer
    x = 579,387.24

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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.