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Finding the Third Proportional to 201,907.13 and 316,776.94

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Solution

The third proportional to 201,907.13 and 316,776.94 is: 496,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,907.13 : 316,776.94 = 316,776.94 : x
  2. Step 2: Convert to fraction form
    201,907.13/316,776.94 = 316,776.94/x
  3. Step 3: Cross multiply
    201,907.13x = 316,776.94 × 316,776.94
  4. Step 4: Simplify right side
    201,907.13x = 100,347,628,131.88
  5. Step 5: Solve for x
    x = 100,347,628,131.88/201,907.13
  6. Step 6: Final answer
    x = 496,998.95

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