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Finding the Third Proportional to 114,666 and 269,800.50

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Solution

The third proportional to 114,666 and 269,800.50 is: 634,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,666 : 269,800.50 = 269,800.50 : x
  2. Step 2: Convert to fraction form
    114,666/269,800.50 = 269,800.50/x
  3. Step 3: Cross multiply
    114,666x = 269,800.50 × 269,800.50
  4. Step 4: Simplify right side
    114,666x = 72,792,309,800.25
  5. Step 5: Solve for x
    x = 72,792,309,800.25/114,666
  6. Step 6: Final answer
    x = 634,820.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.