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Finding the Third Proportional to 134,576 and 292,723

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Solution

The third proportional to 134,576 and 292,723 is: 636,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,576 : 292,723 = 292,723 : x
  2. Step 2: Convert to fraction form
    134,576/292,723 = 292,723/x
  3. Step 3: Cross multiply
    134,576x = 292,723 × 292,723
  4. Step 4: Simplify right side
    134,576x = 85,686,754,729
  5. Step 5: Solve for x
    x = 85,686,754,729/134,576
  6. Step 6: Final answer
    x = 636,716.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.