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Finding the Third Proportional to 94,424 and 201,482

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Solution

The third proportional to 94,424 and 201,482 is: 429,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,424 : 201,482 = 201,482 : x
  2. Step 2: Convert to fraction form
    94,424/201,482 = 201,482/x
  3. Step 3: Cross multiply
    94,424x = 201,482 × 201,482
  4. Step 4: Simplify right side
    94,424x = 40,594,996,324
  5. Step 5: Solve for x
    x = 40,594,996,324/94,424
  6. Step 6: Final answer
    x = 429,922.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.