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Finding the Third Proportional to 195,232.13 and 301,696.50

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Solution

The third proportional to 195,232.13 and 301,696.50 is: 466,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,232.13 : 301,696.50 = 301,696.50 : x
  2. Step 2: Convert to fraction form
    195,232.13/301,696.50 = 301,696.50/x
  3. Step 3: Cross multiply
    195,232.13x = 301,696.50 × 301,696.50
  4. Step 4: Simplify right side
    195,232.13x = 91,020,778,112.25
  5. Step 5: Solve for x
    x = 91,020,778,112.25/195,232.13
  6. Step 6: Final answer
    x = 466,218.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.