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Finding the Third Proportional to 190,476 and 301,353

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Solution

The third proportional to 190,476 and 301,353 is: 476,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,476 : 301,353 = 301,353 : x
  2. Step 2: Convert to fraction form
    190,476/301,353 = 301,353/x
  3. Step 3: Cross multiply
    190,476x = 301,353 × 301,353
  4. Step 4: Simplify right side
    190,476x = 90,813,630,609
  5. Step 5: Solve for x
    x = 90,813,630,609/190,476
  6. Step 6: Final answer
    x = 476,772.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.