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Finding the Third Proportional to 175,064 and 356,545

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Solution

The third proportional to 175,064 and 356,545 is: 726,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064 : 356,545 = 356,545 : x
  2. Step 2: Convert to fraction form
    175,064/356,545 = 356,545/x
  3. Step 3: Cross multiply
    175,064x = 356,545 × 356,545
  4. Step 4: Simplify right side
    175,064x = 127,124,337,025
  5. Step 5: Solve for x
    x = 127,124,337,025/175,064
  6. Step 6: Final answer
    x = 726,159.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.