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Finding the Third Proportional to 130,164 and 284,196

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Solution

The third proportional to 130,164 and 284,196 is: 620,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,164 : 284,196 = 284,196 : x
  2. Step 2: Convert to fraction form
    130,164/284,196 = 284,196/x
  3. Step 3: Cross multiply
    130,164x = 284,196 × 284,196
  4. Step 4: Simplify right side
    130,164x = 80,767,366,416
  5. Step 5: Solve for x
    x = 80,767,366,416/130,164
  6. Step 6: Final answer
    x = 620,504.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.