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Finding the Third Proportional to 145,686 and 296,718

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Solution

The third proportional to 145,686 and 296,718 is: 604,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,686 : 296,718 = 296,718 : x
  2. Step 2: Convert to fraction form
    145,686/296,718 = 296,718/x
  3. Step 3: Cross multiply
    145,686x = 296,718 × 296,718
  4. Step 4: Simplify right side
    145,686x = 88,041,571,524
  5. Step 5: Solve for x
    x = 88,041,571,524/145,686
  6. Step 6: Final answer
    x = 604,324.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.