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Finding the Third Proportional to 133,957.13 and 286,329.94

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Solution

The third proportional to 133,957.13 and 286,329.94 is: 612,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,957.13 : 286,329.94 = 286,329.94 : x
  2. Step 2: Convert to fraction form
    133,957.13/286,329.94 = 286,329.94/x
  3. Step 3: Cross multiply
    133,957.13x = 286,329.94 × 286,329.94
  4. Step 4: Simplify right side
    133,957.13x = 81,984,833,108.75
  5. Step 5: Solve for x
    x = 81,984,833,108.75/133,957.13
  6. Step 6: Final answer
    x = 612,022.94

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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.