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Finding the Third Proportional to 134,232.19 and 286,917.19

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Solution

The third proportional to 134,232.19 and 286,917.19 is: 613,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,232.19 : 286,917.19 = 286,917.19 : x
  2. Step 2: Convert to fraction form
    134,232.19/286,917.19 = 286,917.19/x
  3. Step 3: Cross multiply
    134,232.19x = 286,917.19 × 286,917.19
  4. Step 4: Simplify right side
    134,232.19x = 82,321,472,482.91
  5. Step 5: Solve for x
    x = 82,321,472,482.91/134,232.19
  6. Step 6: Final answer
    x = 613,276.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.