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Finding the Third Proportional to 174,246 and 377,742

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Solution

The third proportional to 174,246 and 377,742 is: 818,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,246 : 377,742 = 377,742 : x
  2. Step 2: Convert to fraction form
    174,246/377,742 = 377,742/x
  3. Step 3: Cross multiply
    174,246x = 377,742 × 377,742
  4. Step 4: Simplify right side
    174,246x = 142,689,018,564
  5. Step 5: Solve for x
    x = 142,689,018,564/174,246
  6. Step 6: Final answer
    x = 818,894.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.