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Finding the Third Proportional to 138,038.50 and 295,763

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Solution

The third proportional to 138,038.50 and 295,763 is: 633,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,038.50 : 295,763 = 295,763 : x
  2. Step 2: Convert to fraction form
    138,038.50/295,763 = 295,763/x
  3. Step 3: Cross multiply
    138,038.50x = 295,763 × 295,763
  4. Step 4: Simplify right side
    138,038.50x = 87,475,752,169
  5. Step 5: Solve for x
    x = 87,475,752,169/138,038.50
  6. Step 6: Final answer
    x = 633,705.47

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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.