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Finding the Third Proportional to 148,260 and 315,314

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Solution

The third proportional to 148,260 and 315,314 is: 670,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,260 : 315,314 = 315,314 : x
  2. Step 2: Convert to fraction form
    148,260/315,314 = 315,314/x
  3. Step 3: Cross multiply
    148,260x = 315,314 × 315,314
  4. Step 4: Simplify right side
    148,260x = 99,422,918,596
  5. Step 5: Solve for x
    x = 99,422,918,596/148,260
  6. Step 6: Final answer
    x = 670,598.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.