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Finding the Third Proportional to 149,400 and 312,648

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Solution

The third proportional to 149,400 and 312,648 is: 654,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,400 : 312,648 = 312,648 : x
  2. Step 2: Convert to fraction form
    149,400/312,648 = 312,648/x
  3. Step 3: Cross multiply
    149,400x = 312,648 × 312,648
  4. Step 4: Simplify right side
    149,400x = 97,748,771,904
  5. Step 5: Solve for x
    x = 97,748,771,904/149,400
  6. Step 6: Final answer
    x = 654,275.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.