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Finding the Third Proportional to 174,861 and 373,716

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Solution

The third proportional to 174,861 and 373,716 is: 798,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,861 : 373,716 = 373,716 : x
  2. Step 2: Convert to fraction form
    174,861/373,716 = 373,716/x
  3. Step 3: Cross multiply
    174,861x = 373,716 × 373,716
  4. Step 4: Simplify right side
    174,861x = 139,663,648,656
  5. Step 5: Solve for x
    x = 139,663,648,656/174,861
  6. Step 6: Final answer
    x = 798,712.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.