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Finding the Third Proportional to 140,006 and 302,476

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Solution

The third proportional to 140,006 and 302,476 is: 653,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,006 : 302,476 = 302,476 : x
  2. Step 2: Convert to fraction form
    140,006/302,476 = 302,476/x
  3. Step 3: Cross multiply
    140,006x = 302,476 × 302,476
  4. Step 4: Simplify right side
    140,006x = 91,491,730,576
  5. Step 5: Solve for x
    x = 91,491,730,576/140,006
  6. Step 6: Final answer
    x = 653,484.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.