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Finding the Third Proportional to 123,243 and 265,167

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Solution

The third proportional to 123,243 and 265,167 is: 570,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,243 : 265,167 = 265,167 : x
  2. Step 2: Convert to fraction form
    123,243/265,167 = 265,167/x
  3. Step 3: Cross multiply
    123,243x = 265,167 × 265,167
  4. Step 4: Simplify right side
    123,243x = 70,313,537,889
  5. Step 5: Solve for x
    x = 70,313,537,889/123,243
  6. Step 6: Final answer
    x = 570,527.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.