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Finding the Third Proportional to 201,933.75 and 316,802.25

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Solution

The third proportional to 201,933.75 and 316,802.25 is: 497,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,933.75 : 316,802.25 = 316,802.25 : x
  2. Step 2: Convert to fraction form
    201,933.75/316,802.25 = 316,802.25/x
  3. Step 3: Cross multiply
    201,933.75x = 316,802.25 × 316,802.25
  4. Step 4: Simplify right side
    201,933.75x = 100,363,665,605.06
  5. Step 5: Solve for x
    x = 100,363,665,605.06/201,933.75
  6. Step 6: Final answer
    x = 497,012.84

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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.