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Finding the Third Proportional to 204,486.50 and 312,265.50

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Solution

The third proportional to 204,486.50 and 312,265.50 is: 476,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,486.50 : 312,265.50 = 312,265.50 : x
  2. Step 2: Convert to fraction form
    204,486.50/312,265.50 = 312,265.50/x
  3. Step 3: Cross multiply
    204,486.50x = 312,265.50 × 312,265.50
  4. Step 4: Simplify right side
    204,486.50x = 97,509,742,490.25
  5. Step 5: Solve for x
    x = 97,509,742,490.25/204,486.50
  6. Step 6: Final answer
    x = 476,851.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.