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Finding the Third Proportional to 208,629 and 312,800.50

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Solution

The third proportional to 208,629 and 312,800.50 is: 468,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,629 : 312,800.50 = 312,800.50 : x
  2. Step 2: Convert to fraction form
    208,629/312,800.50 = 312,800.50/x
  3. Step 3: Cross multiply
    208,629x = 312,800.50 × 312,800.50
  4. Step 4: Simplify right side
    208,629x = 97,844,152,800.25
  5. Step 5: Solve for x
    x = 97,844,152,800.25/208,629
  6. Step 6: Final answer
    x = 468,986.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.