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Finding the Third Proportional to 243,087 and 367,984.50

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Solution

The third proportional to 243,087 and 367,984.50 is: 557,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,087 : 367,984.50 = 367,984.50 : x
  2. Step 2: Convert to fraction form
    243,087/367,984.50 = 367,984.50/x
  3. Step 3: Cross multiply
    243,087x = 367,984.50 × 367,984.50
  4. Step 4: Simplify right side
    243,087x = 135,412,592,240.25
  5. Step 5: Solve for x
    x = 135,412,592,240.25/243,087
  6. Step 6: Final answer
    x = 557,054.03

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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.