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Finding the Third Proportional to 133,044 and 291,958

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Solution

The third proportional to 133,044 and 291,958 is: 640,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044 : 291,958 = 291,958 : x
  2. Step 2: Convert to fraction form
    133,044/291,958 = 291,958/x
  3. Step 3: Cross multiply
    133,044x = 291,958 × 291,958
  4. Step 4: Simplify right side
    133,044x = 85,239,473,764
  5. Step 5: Solve for x
    x = 85,239,473,764/133,044
  6. Step 6: Final answer
    x = 640,686.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.