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Finding the Third Proportional to 201,932.75 and 316,800.50

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Solution

The third proportional to 201,932.75 and 316,800.50 is: 497,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,932.75 : 316,800.50 = 316,800.50 : x
  2. Step 2: Convert to fraction form
    201,932.75/316,800.50 = 316,800.50/x
  3. Step 3: Cross multiply
    201,932.75x = 316,800.50 × 316,800.50
  4. Step 4: Simplify right side
    201,932.75x = 100,362,556,800.25
  5. Step 5: Solve for x
    x = 100,362,556,800.25/201,932.75
  6. Step 6: Final answer
    x = 497,009.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.