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Finding the Third Proportional to 234,541.50 and 512,094

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Solution

The third proportional to 234,541.50 and 512,094 is: 1,118,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,541.50 : 512,094 = 512,094 : x
  2. Step 2: Convert to fraction form
    234,541.50/512,094 = 512,094/x
  3. Step 3: Cross multiply
    234,541.50x = 512,094 × 512,094
  4. Step 4: Simplify right side
    234,541.50x = 262,240,264,836
  5. Step 5: Solve for x
    x = 262,240,264,836/234,541.50
  6. Step 6: Final answer
    x = 1,118,097.50

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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.