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Finding the Third Proportional to 180,516 and 264,616

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Solution

The third proportional to 180,516 and 264,616 is: 387,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,516 : 264,616 = 264,616 : x
  2. Step 2: Convert to fraction form
    180,516/264,616 = 264,616/x
  3. Step 3: Cross multiply
    180,516x = 264,616 × 264,616
  4. Step 4: Simplify right side
    180,516x = 70,021,627,456
  5. Step 5: Solve for x
    x = 70,021,627,456/180,516
  6. Step 6: Final answer
    x = 387,897.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.