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Finding the Third Proportional to 193,506 and 426,260

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Solution

The third proportional to 193,506 and 426,260 is: 938,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,506 : 426,260 = 426,260 : x
  2. Step 2: Convert to fraction form
    193,506/426,260 = 426,260/x
  3. Step 3: Cross multiply
    193,506x = 426,260 × 426,260
  4. Step 4: Simplify right side
    193,506x = 181,697,587,600
  5. Step 5: Solve for x
    x = 181,697,587,600/193,506
  6. Step 6: Final answer
    x = 938,976.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.