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Finding the Third Proportional to 152,010 and 323,703

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Solution

The third proportional to 152,010 and 323,703 is: 689,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,010 : 323,703 = 323,703 : x
  2. Step 2: Convert to fraction form
    152,010/323,703 = 323,703/x
  3. Step 3: Cross multiply
    152,010x = 323,703 × 323,703
  4. Step 4: Simplify right side
    152,010x = 104,783,632,209
  5. Step 5: Solve for x
    x = 104,783,632,209/152,010
  6. Step 6: Final answer
    x = 689,320.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.