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Finding the Third Proportional to 197,082.75 and 432,315.75

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Solution

The third proportional to 197,082.75 and 432,315.75 is: 948,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082.75 : 432,315.75 = 432,315.75 : x
  2. Step 2: Convert to fraction form
    197,082.75/432,315.75 = 432,315.75/x
  3. Step 3: Cross multiply
    197,082.75x = 432,315.75 × 432,315.75
  4. Step 4: Simplify right side
    197,082.75x = 186,896,907,698.06
  5. Step 5: Solve for x
    x = 186,896,907,698.06/197,082.75
  6. Step 6: Final answer
    x = 948,316.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.