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Finding the Third Proportional to 207,955 and 425,746.50

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Solution

The third proportional to 207,955 and 425,746.50 is: 871,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,955 : 425,746.50 = 425,746.50 : x
  2. Step 2: Convert to fraction form
    207,955/425,746.50 = 425,746.50/x
  3. Step 3: Cross multiply
    207,955x = 425,746.50 × 425,746.50
  4. Step 4: Simplify right side
    207,955x = 181,260,082,262.25
  5. Step 5: Solve for x
    x = 181,260,082,262.25/207,955
  6. Step 6: Final answer
    x = 871,631.28

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