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Finding the Third Proportional to 199,159 and 426,271.75

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Solution

The third proportional to 199,159 and 426,271.75 is: 912,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,159 : 426,271.75 = 426,271.75 : x
  2. Step 2: Convert to fraction form
    199,159/426,271.75 = 426,271.75/x
  3. Step 3: Cross multiply
    199,159x = 426,271.75 × 426,271.75
  4. Step 4: Simplify right side
    199,159x = 181,707,604,848.06
  5. Step 5: Solve for x
    x = 181,707,604,848.06/199,159
  6. Step 6: Final answer
    x = 912,374.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.