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Finding the Third Proportional to 145,104 and 307,616

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Solution

The third proportional to 145,104 and 307,616 is: 652,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,104 : 307,616 = 307,616 : x
  2. Step 2: Convert to fraction form
    145,104/307,616 = 307,616/x
  3. Step 3: Cross multiply
    145,104x = 307,616 × 307,616
  4. Step 4: Simplify right side
    145,104x = 94,627,603,456
  5. Step 5: Solve for x
    x = 94,627,603,456/145,104
  6. Step 6: Final answer
    x = 652,136.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.