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Finding the Third Proportional to 174,210 and 381,634.50

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Solution

The third proportional to 174,210 and 381,634.50 is: 836,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,210 : 381,634.50 = 381,634.50 : x
  2. Step 2: Convert to fraction form
    174,210/381,634.50 = 381,634.50/x
  3. Step 3: Cross multiply
    174,210x = 381,634.50 × 381,634.50
  4. Step 4: Simplify right side
    174,210x = 145,644,891,590.25
  5. Step 5: Solve for x
    x = 145,644,891,590.25/174,210
  6. Step 6: Final answer
    x = 836,030.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.