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Finding the Third Proportional to 141,646 and 305,150

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Solution

The third proportional to 141,646 and 305,150 is: 657,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,646 : 305,150 = 305,150 : x
  2. Step 2: Convert to fraction form
    141,646/305,150 = 305,150/x
  3. Step 3: Cross multiply
    141,646x = 305,150 × 305,150
  4. Step 4: Simplify right side
    141,646x = 93,116,522,500
  5. Step 5: Solve for x
    x = 93,116,522,500/141,646
  6. Step 6: Final answer
    x = 657,389.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.