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Finding the Third Proportional to 180,913.50 and 273,213

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Solution

The third proportional to 180,913.50 and 273,213 is: 412,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,913.50 : 273,213 = 273,213 : x
  2. Step 2: Convert to fraction form
    180,913.50/273,213 = 273,213/x
  3. Step 3: Cross multiply
    180,913.50x = 273,213 × 273,213
  4. Step 4: Simplify right side
    180,913.50x = 74,645,343,369
  5. Step 5: Solve for x
    x = 74,645,343,369/180,913.50
  6. Step 6: Final answer
    x = 412,602.39

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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.