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Finding the Third Proportional to 185,803.50 and 295,284

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Solution

The third proportional to 185,803.50 and 295,284 is: 469,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,803.50 : 295,284 = 295,284 : x
  2. Step 2: Convert to fraction form
    185,803.50/295,284 = 295,284/x
  3. Step 3: Cross multiply
    185,803.50x = 295,284 × 295,284
  4. Step 4: Simplify right side
    185,803.50x = 87,192,640,656
  5. Step 5: Solve for x
    x = 87,192,640,656/185,803.50
  6. Step 6: Final answer
    x = 469,273.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.