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Finding the Third Proportional to 183,782 and 402,939

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Solution

The third proportional to 183,782 and 402,939 is: 883,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,782 : 402,939 = 402,939 : x
  2. Step 2: Convert to fraction form
    183,782/402,939 = 402,939/x
  3. Step 3: Cross multiply
    183,782x = 402,939 × 402,939
  4. Step 4: Simplify right side
    183,782x = 162,359,837,721
  5. Step 5: Solve for x
    x = 162,359,837,721/183,782
  6. Step 6: Final answer
    x = 883,437.10

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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.