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Finding the Third Proportional to 134,084 and 294,952

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Solution

The third proportional to 134,084 and 294,952 is: 648,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,084 : 294,952 = 294,952 : x
  2. Step 2: Convert to fraction form
    134,084/294,952 = 294,952/x
  3. Step 3: Cross multiply
    134,084x = 294,952 × 294,952
  4. Step 4: Simplify right side
    134,084x = 86,996,682,304
  5. Step 5: Solve for x
    x = 86,996,682,304/134,084
  6. Step 6: Final answer
    x = 648,822.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.