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Finding the Third Proportional to 155,468 and 343,606

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Solution

The third proportional to 155,468 and 343,606 is: 759,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,468 : 343,606 = 343,606 : x
  2. Step 2: Convert to fraction form
    155,468/343,606 = 343,606/x
  3. Step 3: Cross multiply
    155,468x = 343,606 × 343,606
  4. Step 4: Simplify right side
    155,468x = 118,065,083,236
  5. Step 5: Solve for x
    x = 118,065,083,236/155,468
  6. Step 6: Final answer
    x = 759,417.26

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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.