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Finding the Third Proportional to 116,797.57 and 182,980.90

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Solution

The third proportional to 116,797.57 and 182,980.90 is: 286,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,797.57 : 182,980.90 = 182,980.90 : x
  2. Step 2: Convert to fraction form
    116,797.57/182,980.90 = 182,980.90/x
  3. Step 3: Cross multiply
    116,797.57x = 182,980.90 × 182,980.90
  4. Step 4: Simplify right side
    116,797.57x = 33,482,009,192.99
  5. Step 5: Solve for x
    x = 33,482,009,192.99/116,797.57
  6. Step 6: Final answer
    x = 286,667.00

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Why These Related Problems?

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