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Finding the Third Proportional to 155,616 and 341,490

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Solution

The third proportional to 155,616 and 341,490 is: 749,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,616 : 341,490 = 341,490 : x
  2. Step 2: Convert to fraction form
    155,616/341,490 = 341,490/x
  3. Step 3: Cross multiply
    155,616x = 341,490 × 341,490
  4. Step 4: Simplify right side
    155,616x = 116,615,420,100
  5. Step 5: Solve for x
    x = 116,615,420,100/155,616
  6. Step 6: Final answer
    x = 749,379.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.