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Finding the Third Proportional to 188,259.56 and 286,803.94

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Solution

The third proportional to 188,259.56 and 286,803.94 is: 436,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,259.56 : 286,803.94 = 286,803.94 : x
  2. Step 2: Convert to fraction form
    188,259.56/286,803.94 = 286,803.94/x
  3. Step 3: Cross multiply
    188,259.56x = 286,803.94 × 286,803.94
  4. Step 4: Simplify right side
    188,259.56x = 82,256,498,565.50
  5. Step 5: Solve for x
    x = 82,256,498,565.50/188,259.56
  6. Step 6: Final answer
    x = 436,931.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.