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Finding the Third Proportional to 202,149 and 317,097

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Solution

The third proportional to 202,149 and 317,097 is: 497,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,149 : 317,097 = 317,097 : x
  2. Step 2: Convert to fraction form
    202,149/317,097 = 317,097/x
  3. Step 3: Cross multiply
    202,149x = 317,097 × 317,097
  4. Step 4: Simplify right side
    202,149x = 100,550,507,409
  5. Step 5: Solve for x
    x = 100,550,507,409/202,149
  6. Step 6: Final answer
    x = 497,407.89

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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.