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Finding the Third Proportional to 123,150.50 and 265,946

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Solution

The third proportional to 123,150.50 and 265,946 is: 574,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,150.50 : 265,946 = 265,946 : x
  2. Step 2: Convert to fraction form
    123,150.50/265,946 = 265,946/x
  3. Step 3: Cross multiply
    123,150.50x = 265,946 × 265,946
  4. Step 4: Simplify right side
    123,150.50x = 70,727,274,916
  5. Step 5: Solve for x
    x = 70,727,274,916/123,150.50
  6. Step 6: Final answer
    x = 574,315.78

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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.