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Finding the Third Proportional to 229,276.50 and 305,784

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Solution

The third proportional to 229,276.50 and 305,784 is: 407,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,276.50 : 305,784 = 305,784 : x
  2. Step 2: Convert to fraction form
    229,276.50/305,784 = 305,784/x
  3. Step 3: Cross multiply
    229,276.50x = 305,784 × 305,784
  4. Step 4: Simplify right side
    229,276.50x = 93,503,854,656
  5. Step 5: Solve for x
    x = 93,503,854,656/229,276.50
  6. Step 6: Final answer
    x = 407,821.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.