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Finding the Third Proportional to 142,704 and 294,048

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Solution

The third proportional to 142,704 and 294,048 is: 605,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,704 : 294,048 = 294,048 : x
  2. Step 2: Convert to fraction form
    142,704/294,048 = 294,048/x
  3. Step 3: Cross multiply
    142,704x = 294,048 × 294,048
  4. Step 4: Simplify right side
    142,704x = 86,464,226,304
  5. Step 5: Solve for x
    x = 86,464,226,304/142,704
  6. Step 6: Final answer
    x = 605,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.