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Finding the Third Proportional to 242,355 and 370,094

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Solution

The third proportional to 242,355 and 370,094 is: 565,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,355 : 370,094 = 370,094 : x
  2. Step 2: Convert to fraction form
    242,355/370,094 = 370,094/x
  3. Step 3: Cross multiply
    242,355x = 370,094 × 370,094
  4. Step 4: Simplify right side
    242,355x = 136,969,568,836
  5. Step 5: Solve for x
    x = 136,969,568,836/242,355
  6. Step 6: Final answer
    x = 565,160.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.