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Finding the Third Proportional to 204,256.69 and 314,998.03

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Solution

The third proportional to 204,256.69 and 314,998.03 is: 485,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,256.69 : 314,998.03 = 314,998.03 : x
  2. Step 2: Convert to fraction form
    204,256.69/314,998.03 = 314,998.03/x
  3. Step 3: Cross multiply
    204,256.69x = 314,998.03 × 314,998.03
  4. Step 4: Simplify right side
    204,256.69x = 99,223,759,691.38
  5. Step 5: Solve for x
    x = 99,223,759,691.38/204,256.69
  6. Step 6: Final answer
    x = 485,779.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.