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Finding the Third Proportional to 163,083.50 and 330,752

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Solution

The third proportional to 163,083.50 and 330,752 is: 670,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,083.50 : 330,752 = 330,752 : x
  2. Step 2: Convert to fraction form
    163,083.50/330,752 = 330,752/x
  3. Step 3: Cross multiply
    163,083.50x = 330,752 × 330,752
  4. Step 4: Simplify right side
    163,083.50x = 109,396,885,504
  5. Step 5: Solve for x
    x = 109,396,885,504/163,083.50
  6. Step 6: Final answer
    x = 670,802.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.