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Finding the Third Proportional to 183,303 and 384,126.75

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Solution

The third proportional to 183,303 and 384,126.75 is: 804,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,303 : 384,126.75 = 384,126.75 : x
  2. Step 2: Convert to fraction form
    183,303/384,126.75 = 384,126.75/x
  3. Step 3: Cross multiply
    183,303x = 384,126.75 × 384,126.75
  4. Step 4: Simplify right side
    183,303x = 147,553,360,065.56
  5. Step 5: Solve for x
    x = 147,553,360,065.56/183,303
  6. Step 6: Final answer
    x = 804,969.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.