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Finding the Third Proportional to 175,981.50 and 384,237

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Solution

The third proportional to 175,981.50 and 384,237 is: 838,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,981.50 : 384,237 = 384,237 : x
  2. Step 2: Convert to fraction form
    175,981.50/384,237 = 384,237/x
  3. Step 3: Cross multiply
    175,981.50x = 384,237 × 384,237
  4. Step 4: Simplify right side
    175,981.50x = 147,638,072,169
  5. Step 5: Solve for x
    x = 147,638,072,169/175,981.50
  6. Step 6: Final answer
    x = 838,940.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.