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Finding the Third Proportional to 183,441 and 261,715.50

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Solution

The third proportional to 183,441 and 261,715.50 is: 373,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,441 : 261,715.50 = 261,715.50 : x
  2. Step 2: Convert to fraction form
    183,441/261,715.50 = 261,715.50/x
  3. Step 3: Cross multiply
    183,441x = 261,715.50 × 261,715.50
  4. Step 4: Simplify right side
    183,441x = 68,495,002,940.25
  5. Step 5: Solve for x
    x = 68,495,002,940.25/183,441
  6. Step 6: Final answer
    x = 373,389.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.