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Finding the Third Proportional to 137,800.50 and 295,283.25

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Solution

The third proportional to 137,800.50 and 295,283.25 is: 632,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,800.50 : 295,283.25 = 295,283.25 : x
  2. Step 2: Convert to fraction form
    137,800.50/295,283.25 = 295,283.25/x
  3. Step 3: Cross multiply
    137,800.50x = 295,283.25 × 295,283.25
  4. Step 4: Simplify right side
    137,800.50x = 87,192,197,730.56
  5. Step 5: Solve for x
    x = 87,192,197,730.56/137,800.50
  6. Step 6: Final answer
    x = 632,742.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.