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Finding the Third Proportional to 191,784.38 and 300,852.56

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Solution

The third proportional to 191,784.38 and 300,852.56 is: 471,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,784.38 : 300,852.56 = 300,852.56 : x
  2. Step 2: Convert to fraction form
    191,784.38/300,852.56 = 300,852.56/x
  3. Step 3: Cross multiply
    191,784.38x = 300,852.56 × 300,852.56
  4. Step 4: Simplify right side
    191,784.38x = 90,512,264,362.82
  5. Step 5: Solve for x
    x = 90,512,264,362.82/191,784.38
  6. Step 6: Final answer
    x = 471,948.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.