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Finding the Third Proportional to 193,056 and 409,416

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Solution

The third proportional to 193,056 and 409,416 is: 868,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,056 : 409,416 = 409,416 : x
  2. Step 2: Convert to fraction form
    193,056/409,416 = 409,416/x
  3. Step 3: Cross multiply
    193,056x = 409,416 × 409,416
  4. Step 4: Simplify right side
    193,056x = 167,621,461,056
  5. Step 5: Solve for x
    x = 167,621,461,056/193,056
  6. Step 6: Final answer
    x = 868,253.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.