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Finding the Third Proportional to 117.19 and 242.06

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Solution

The third proportional to 117.19 and 242.06 is: 500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 242.06 = 242.06 : x
  2. Step 2: Convert to fraction form
    117.19/242.06 = 242.06/x
  3. Step 3: Cross multiply
    117.19x = 242.06 × 242.06
  4. Step 4: Simplify right side
    117.19x = 58,594.25
  5. Step 5: Solve for x
    x = 58,594.25/117.19
  6. Step 6: Final answer
    x = 500.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.