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Finding the Third Proportional to 207,970.88 and 425,792.81

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Solution

The third proportional to 207,970.88 and 425,792.81 is: 871,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970.88 : 425,792.81 = 425,792.81 : x
  2. Step 2: Convert to fraction form
    207,970.88/425,792.81 = 425,792.81/x
  3. Step 3: Cross multiply
    207,970.88x = 425,792.81 × 425,792.81
  4. Step 4: Simplify right side
    207,970.88x = 181,299,519,176.66
  5. Step 5: Solve for x
    x = 181,299,519,176.66/207,970.88
  6. Step 6: Final answer
    x = 871,754.37

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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.