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Finding the Third Proportional to 243,080 and 367,973

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Solution

The third proportional to 243,080 and 367,973 is: 557,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,080 : 367,973 = 367,973 : x
  2. Step 2: Convert to fraction form
    243,080/367,973 = 367,973/x
  3. Step 3: Cross multiply
    243,080x = 367,973 × 367,973
  4. Step 4: Simplify right side
    243,080x = 135,404,128,729
  5. Step 5: Solve for x
    x = 135,404,128,729/243,080
  6. Step 6: Final answer
    x = 557,035.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.