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Finding the Third Proportional to 133,146 and 289,802

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Solution

The third proportional to 133,146 and 289,802 is: 630,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,146 : 289,802 = 289,802 : x
  2. Step 2: Convert to fraction form
    133,146/289,802 = 289,802/x
  3. Step 3: Cross multiply
    133,146x = 289,802 × 289,802
  4. Step 4: Simplify right side
    133,146x = 83,985,199,204
  5. Step 5: Solve for x
    x = 83,985,199,204/133,146
  6. Step 6: Final answer
    x = 630,775.23

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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.