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Finding the Third Proportional to 199,705.50 and 308,407.50

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Solution

The third proportional to 199,705.50 and 308,407.50 is: 476,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,705.50 : 308,407.50 = 308,407.50 : x
  2. Step 2: Convert to fraction form
    199,705.50/308,407.50 = 308,407.50/x
  3. Step 3: Cross multiply
    199,705.50x = 308,407.50 × 308,407.50
  4. Step 4: Simplify right side
    199,705.50x = 95,115,186,056.25
  5. Step 5: Solve for x
    x = 95,115,186,056.25/199,705.50
  6. Step 6: Final answer
    x = 476,277.25

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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.