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Finding the Third Proportional to 163,090.50 and 337,369.50

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Solution

The third proportional to 163,090.50 and 337,369.50 is: 697,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,090.50 : 337,369.50 = 337,369.50 : x
  2. Step 2: Convert to fraction form
    163,090.50/337,369.50 = 337,369.50/x
  3. Step 3: Cross multiply
    163,090.50x = 337,369.50 × 337,369.50
  4. Step 4: Simplify right side
    163,090.50x = 113,818,179,530.25
  5. Step 5: Solve for x
    x = 113,818,179,530.25/163,090.50
  6. Step 6: Final answer
    x = 697,883.56

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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.