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Finding the Third Proportional to 123,214 and 268,541

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Solution

The third proportional to 123,214 and 268,541 is: 585,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,214 : 268,541 = 268,541 : x
  2. Step 2: Convert to fraction form
    123,214/268,541 = 268,541/x
  3. Step 3: Cross multiply
    123,214x = 268,541 × 268,541
  4. Step 4: Simplify right side
    123,214x = 72,114,268,681
  5. Step 5: Solve for x
    x = 72,114,268,681/123,214
  6. Step 6: Final answer
    x = 585,276.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.