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Finding the Third Proportional to 202,390 and 301,943

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Solution

The third proportional to 202,390 and 301,943 is: 450,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,390 : 301,943 = 301,943 : x
  2. Step 2: Convert to fraction form
    202,390/301,943 = 301,943/x
  3. Step 3: Cross multiply
    202,390x = 301,943 × 301,943
  4. Step 4: Simplify right side
    202,390x = 91,169,575,249
  5. Step 5: Solve for x
    x = 91,169,575,249/202,390
  6. Step 6: Final answer
    x = 450,464.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.