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Finding the Third Proportional to 155,426 and 321,907

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Solution

The third proportional to 155,426 and 321,907 is: 666,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,426 : 321,907 = 321,907 : x
  2. Step 2: Convert to fraction form
    155,426/321,907 = 321,907/x
  3. Step 3: Cross multiply
    155,426x = 321,907 × 321,907
  4. Step 4: Simplify right side
    155,426x = 103,624,116,649
  5. Step 5: Solve for x
    x = 103,624,116,649/155,426
  6. Step 6: Final answer
    x = 666,710.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.