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Finding the Third Proportional to 201,636 and 304,073

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Solution

The third proportional to 201,636 and 304,073 is: 458,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,636 : 304,073 = 304,073 : x
  2. Step 2: Convert to fraction form
    201,636/304,073 = 304,073/x
  3. Step 3: Cross multiply
    201,636x = 304,073 × 304,073
  4. Step 4: Simplify right side
    201,636x = 92,460,389,329
  5. Step 5: Solve for x
    x = 92,460,389,329/201,636
  6. Step 6: Final answer
    x = 458,551.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.