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Finding the Third Proportional to 199,629 and 307,705.50

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Solution

The third proportional to 199,629 and 307,705.50 is: 474,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,629 : 307,705.50 = 307,705.50 : x
  2. Step 2: Convert to fraction form
    199,629/307,705.50 = 307,705.50/x
  3. Step 3: Cross multiply
    199,629x = 307,705.50 × 307,705.50
  4. Step 4: Simplify right side
    199,629x = 94,682,674,730.25
  5. Step 5: Solve for x
    x = 94,682,674,730.25/199,629
  6. Step 6: Final answer
    x = 474,293.19

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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.