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Finding the Third Proportional to 118,300.50 and 180,994.50

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Solution

The third proportional to 118,300.50 and 180,994.50 is: 276,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,300.50 : 180,994.50 = 180,994.50 : x
  2. Step 2: Convert to fraction form
    118,300.50/180,994.50 = 180,994.50/x
  3. Step 3: Cross multiply
    118,300.50x = 180,994.50 × 180,994.50
  4. Step 4: Simplify right side
    118,300.50x = 32,759,009,030.25
  5. Step 5: Solve for x
    x = 32,759,009,030.25/118,300.50
  6. Step 6: Final answer
    x = 276,913.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.