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Finding the Third Proportional to 174,983 and 361,007

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Solution

The third proportional to 174,983 and 361,007 is: 744,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,983 : 361,007 = 361,007 : x
  2. Step 2: Convert to fraction form
    174,983/361,007 = 361,007/x
  3. Step 3: Cross multiply
    174,983x = 361,007 × 361,007
  4. Step 4: Simplify right side
    174,983x = 130,326,054,049
  5. Step 5: Solve for x
    x = 130,326,054,049/174,983
  6. Step 6: Final answer
    x = 744,792.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.