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Finding the Third Proportional to 203,907.38 and 321,337.13

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Solution

The third proportional to 203,907.38 and 321,337.13 is: 506,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,907.38 : 321,337.13 = 321,337.13 : x
  2. Step 2: Convert to fraction form
    203,907.38/321,337.13 = 321,337.13/x
  3. Step 3: Cross multiply
    203,907.38x = 321,337.13 × 321,337.13
  4. Step 4: Simplify right side
    203,907.38x = 103,257,547,903.27
  5. Step 5: Solve for x
    x = 103,257,547,903.27/203,907.38
  6. Step 6: Final answer
    x = 506,394.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.