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Finding the Third Proportional to 174,983 and 361,630

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Solution

The third proportional to 174,983 and 361,630 is: 747,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,983 : 361,630 = 361,630 : x
  2. Step 2: Convert to fraction form
    174,983/361,630 = 361,630/x
  3. Step 3: Cross multiply
    174,983x = 361,630 × 361,630
  4. Step 4: Simplify right side
    174,983x = 130,776,256,900
  5. Step 5: Solve for x
    x = 130,776,256,900/174,983
  6. Step 6: Final answer
    x = 747,365.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.