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Finding the Third Proportional to 145,468 and 213,406

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Solution

The third proportional to 145,468 and 213,406 is: 313,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,468 : 213,406 = 213,406 : x
  2. Step 2: Convert to fraction form
    145,468/213,406 = 213,406/x
  3. Step 3: Cross multiply
    145,468x = 213,406 × 213,406
  4. Step 4: Simplify right side
    145,468x = 45,542,120,836
  5. Step 5: Solve for x
    x = 45,542,120,836/145,468
  6. Step 6: Final answer
    x = 313,073.12

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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.