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Finding the Third Proportional to 193,599 and 311,890.50

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Solution

The third proportional to 193,599 and 311,890.50 is: 502,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,599 : 311,890.50 = 311,890.50 : x
  2. Step 2: Convert to fraction form
    193,599/311,890.50 = 311,890.50/x
  3. Step 3: Cross multiply
    193,599x = 311,890.50 × 311,890.50
  4. Step 4: Simplify right side
    193,599x = 97,275,683,990.25
  5. Step 5: Solve for x
    x = 97,275,683,990.25/193,599
  6. Step 6: Final answer
    x = 502,459.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.