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Finding the Third Proportional to 169,967.50 and 370,276.25

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Solution

The third proportional to 169,967.50 and 370,276.25 is: 806,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,967.50 : 370,276.25 = 370,276.25 : x
  2. Step 2: Convert to fraction form
    169,967.50/370,276.25 = 370,276.25/x
  3. Step 3: Cross multiply
    169,967.50x = 370,276.25 × 370,276.25
  4. Step 4: Simplify right side
    169,967.50x = 137,104,501,314.06
  5. Step 5: Solve for x
    x = 137,104,501,314.06/169,967.50
  6. Step 6: Final answer
    x = 806,651.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.