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Finding the Third Proportional to 282,158 and 603,141

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Solution

The third proportional to 282,158 and 603,141 is: 1,289,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,158 : 603,141 = 603,141 : x
  2. Step 2: Convert to fraction form
    282,158/603,141 = 603,141/x
  3. Step 3: Cross multiply
    282,158x = 603,141 × 603,141
  4. Step 4: Simplify right side
    282,158x = 363,779,065,881
  5. Step 5: Solve for x
    x = 363,779,065,881/282,158
  6. Step 6: Final answer
    x = 1,289,274.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.