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Finding the Third Proportional to 180,846 and 265,990.50

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Solution

The third proportional to 180,846 and 265,990.50 is: 391,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,846 : 265,990.50 = 265,990.50 : x
  2. Step 2: Convert to fraction form
    180,846/265,990.50 = 265,990.50/x
  3. Step 3: Cross multiply
    180,846x = 265,990.50 × 265,990.50
  4. Step 4: Simplify right side
    180,846x = 70,750,946,090.25
  5. Step 5: Solve for x
    x = 70,750,946,090.25/180,846
  6. Step 6: Final answer
    x = 391,222.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.