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Finding the Third Proportional to 145,446 and 213,378

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Solution

The third proportional to 145,446 and 213,378 is: 313,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,446 : 213,378 = 213,378 : x
  2. Step 2: Convert to fraction form
    145,446/213,378 = 213,378/x
  3. Step 3: Cross multiply
    145,446x = 213,378 × 213,378
  4. Step 4: Simplify right side
    145,446x = 45,530,170,884
  5. Step 5: Solve for x
    x = 45,530,170,884/145,446
  6. Step 6: Final answer
    x = 313,038.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.