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Finding the Third Proportional to 174,416 and 376,706

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Solution

The third proportional to 174,416 and 376,706 is: 813,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,416 : 376,706 = 376,706 : x
  2. Step 2: Convert to fraction form
    174,416/376,706 = 376,706/x
  3. Step 3: Cross multiply
    174,416x = 376,706 × 376,706
  4. Step 4: Simplify right side
    174,416x = 141,907,410,436
  5. Step 5: Solve for x
    x = 141,907,410,436/174,416
  6. Step 6: Final answer
    x = 813,614.64

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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.