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Finding the Third Proportional to 123,358 and 268,910

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Solution

The third proportional to 123,358 and 268,910 is: 586,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,358 : 268,910 = 268,910 : x
  2. Step 2: Convert to fraction form
    123,358/268,910 = 268,910/x
  3. Step 3: Cross multiply
    123,358x = 268,910 × 268,910
  4. Step 4: Simplify right side
    123,358x = 72,312,588,100
  5. Step 5: Solve for x
    x = 72,312,588,100/123,358
  6. Step 6: Final answer
    x = 586,201.04

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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.