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Finding the Third Proportional to 201,800.50 and 304,237

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Solution

The third proportional to 201,800.50 and 304,237 is: 458,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,800.50 : 304,237 = 304,237 : x
  2. Step 2: Convert to fraction form
    201,800.50/304,237 = 304,237/x
  3. Step 3: Cross multiply
    201,800.50x = 304,237 × 304,237
  4. Step 4: Simplify right side
    201,800.50x = 92,560,152,169
  5. Step 5: Solve for x
    x = 92,560,152,169/201,800.50
  6. Step 6: Final answer
    x = 458,671.57

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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.