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Finding the Third Proportional to 207,976.50 and 425,810.25

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Solution

The third proportional to 207,976.50 and 425,810.25 is: 871,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,976.50 : 425,810.25 = 425,810.25 : x
  2. Step 2: Convert to fraction form
    207,976.50/425,810.25 = 425,810.25/x
  3. Step 3: Cross multiply
    207,976.50x = 425,810.25 × 425,810.25
  4. Step 4: Simplify right side
    207,976.50x = 181,314,369,005.06
  5. Step 5: Solve for x
    x = 181,314,369,005.06/207,976.50
  6. Step 6: Final answer
    x = 871,802.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.