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Finding the Third Proportional to 271,919 and 302,537

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Solution

The third proportional to 271,919 and 302,537 is: 336,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,919 : 302,537 = 302,537 : x
  2. Step 2: Convert to fraction form
    271,919/302,537 = 302,537/x
  3. Step 3: Cross multiply
    271,919x = 302,537 × 302,537
  4. Step 4: Simplify right side
    271,919x = 91,528,636,369
  5. Step 5: Solve for x
    x = 91,528,636,369/271,919
  6. Step 6: Final answer
    x = 336,602.58

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.