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Finding the Third Proportional to 183,564 and 377,010

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Solution

The third proportional to 183,564 and 377,010 is: 774,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,564 : 377,010 = 377,010 : x
  2. Step 2: Convert to fraction form
    183,564/377,010 = 377,010/x
  3. Step 3: Cross multiply
    183,564x = 377,010 × 377,010
  4. Step 4: Simplify right side
    183,564x = 142,136,540,100
  5. Step 5: Solve for x
    x = 142,136,540,100/183,564
  6. Step 6: Final answer
    x = 774,315.99

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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.