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Finding the Third Proportional to 174,874.50 and 377,316

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Solution

The third proportional to 174,874.50 and 377,316 is: 814,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,874.50 : 377,316 = 377,316 : x
  2. Step 2: Convert to fraction form
    174,874.50/377,316 = 377,316/x
  3. Step 3: Cross multiply
    174,874.50x = 377,316 × 377,316
  4. Step 4: Simplify right side
    174,874.50x = 142,367,363,856
  5. Step 5: Solve for x
    x = 142,367,363,856/174,874.50
  6. Step 6: Final answer
    x = 814,111.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.