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Finding the Third Proportional to 194,492 and 429,808

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Solution

The third proportional to 194,492 and 429,808 is: 949,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,492 : 429,808 = 429,808 : x
  2. Step 2: Convert to fraction form
    194,492/429,808 = 429,808/x
  3. Step 3: Cross multiply
    194,492x = 429,808 × 429,808
  4. Step 4: Simplify right side
    194,492x = 184,734,916,864
  5. Step 5: Solve for x
    x = 184,734,916,864/194,492
  6. Step 6: Final answer
    x = 949,832.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.