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Finding the Third Proportional to 123,492 and 265,704

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Solution

The third proportional to 123,492 and 265,704 is: 571,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,492 : 265,704 = 265,704 : x
  2. Step 2: Convert to fraction form
    123,492/265,704 = 265,704/x
  3. Step 3: Cross multiply
    123,492x = 265,704 × 265,704
  4. Step 4: Simplify right side
    123,492x = 70,598,615,616
  5. Step 5: Solve for x
    x = 70,598,615,616/123,492
  6. Step 6: Final answer
    x = 571,685.74

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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.