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Finding the Third Proportional to 123,210 and 267,140

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Solution

The third proportional to 123,210 and 267,140 is: 579,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,210 : 267,140 = 267,140 : x
  2. Step 2: Convert to fraction form
    123,210/267,140 = 267,140/x
  3. Step 3: Cross multiply
    123,210x = 267,140 × 267,140
  4. Step 4: Simplify right side
    123,210x = 71,363,779,600
  5. Step 5: Solve for x
    x = 71,363,779,600/123,210
  6. Step 6: Final answer
    x = 579,204.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.