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Finding the Third Proportional to 201,750.75 and 312,194.25

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Solution

The third proportional to 201,750.75 and 312,194.25 is: 483,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750.75 : 312,194.25 = 312,194.25 : x
  2. Step 2: Convert to fraction form
    201,750.75/312,194.25 = 312,194.25/x
  3. Step 3: Cross multiply
    201,750.75x = 312,194.25 × 312,194.25
  4. Step 4: Simplify right side
    201,750.75x = 97,465,249,733.06
  5. Step 5: Solve for x
    x = 97,465,249,733.06/201,750.75
  6. Step 6: Final answer
    x = 483,097.34

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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.