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Finding the Third Proportional to 162,703.50 and 333,333

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Solution

The third proportional to 162,703.50 and 333,333 is: 682,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,703.50 : 333,333 = 333,333 : x
  2. Step 2: Convert to fraction form
    162,703.50/333,333 = 333,333/x
  3. Step 3: Cross multiply
    162,703.50x = 333,333 × 333,333
  4. Step 4: Simplify right side
    162,703.50x = 111,110,888,889
  5. Step 5: Solve for x
    x = 111,110,888,889/162,703.50
  6. Step 6: Final answer
    x = 682,904.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.