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Finding the Third Proportional to 174,545 and 380,194

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Solution

The third proportional to 174,545 and 380,194 is: 828,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,545 : 380,194 = 380,194 : x
  2. Step 2: Convert to fraction form
    174,545/380,194 = 380,194/x
  3. Step 3: Cross multiply
    174,545x = 380,194 × 380,194
  4. Step 4: Simplify right side
    174,545x = 144,547,477,636
  5. Step 5: Solve for x
    x = 144,547,477,636/174,545
  6. Step 6: Final answer
    x = 828,138.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.