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Finding the Third Proportional to 155,526 and 343,884

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Solution

The third proportional to 155,526 and 343,884 is: 760,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,526 : 343,884 = 343,884 : x
  2. Step 2: Convert to fraction form
    155,526/343,884 = 343,884/x
  3. Step 3: Cross multiply
    155,526x = 343,884 × 343,884
  4. Step 4: Simplify right side
    155,526x = 118,256,205,456
  5. Step 5: Solve for x
    x = 118,256,205,456/155,526
  6. Step 6: Final answer
    x = 760,362.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.