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Finding the Third Proportional to 199,617 and 307,687.50

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Solution

The third proportional to 199,617 and 307,687.50 is: 474,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617 : 307,687.50 = 307,687.50 : x
  2. Step 2: Convert to fraction form
    199,617/307,687.50 = 307,687.50/x
  3. Step 3: Cross multiply
    199,617x = 307,687.50 × 307,687.50
  4. Step 4: Simplify right side
    199,617x = 94,671,597,656.25
  5. Step 5: Solve for x
    x = 94,671,597,656.25/199,617
  6. Step 6: Final answer
    x = 474,266.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.