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Finding the Third Proportional to 148,512 and 312,576

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Solution

The third proportional to 148,512 and 312,576 is: 657,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,512 : 312,576 = 312,576 : x
  2. Step 2: Convert to fraction form
    148,512/312,576 = 312,576/x
  3. Step 3: Cross multiply
    148,512x = 312,576 × 312,576
  4. Step 4: Simplify right side
    148,512x = 97,703,755,776
  5. Step 5: Solve for x
    x = 97,703,755,776/148,512
  6. Step 6: Final answer
    x = 657,884.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.