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Finding the Third Proportional to 152,243 and 320,898

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Solution

The third proportional to 152,243 and 320,898 is: 676,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,243 : 320,898 = 320,898 : x
  2. Step 2: Convert to fraction form
    152,243/320,898 = 320,898/x
  3. Step 3: Cross multiply
    152,243x = 320,898 × 320,898
  4. Step 4: Simplify right side
    152,243x = 102,975,526,404
  5. Step 5: Solve for x
    x = 102,975,526,404/152,243
  6. Step 6: Final answer
    x = 676,389.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.