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Finding the Third Proportional to 197,478 and 282,196

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Solution

The third proportional to 197,478 and 282,196 is: 403,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,478 : 282,196 = 282,196 : x
  2. Step 2: Convert to fraction form
    197,478/282,196 = 282,196/x
  3. Step 3: Cross multiply
    197,478x = 282,196 × 282,196
  4. Step 4: Simplify right side
    197,478x = 79,634,582,416
  5. Step 5: Solve for x
    x = 79,634,582,416/197,478
  6. Step 6: Final answer
    x = 403,258.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.