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Finding the Third Proportional to 242,739.75 and 371,501.25

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Solution

The third proportional to 242,739.75 and 371,501.25 is: 568,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,739.75 : 371,501.25 = 371,501.25 : x
  2. Step 2: Convert to fraction form
    242,739.75/371,501.25 = 371,501.25/x
  3. Step 3: Cross multiply
    242,739.75x = 371,501.25 × 371,501.25
  4. Step 4: Simplify right side
    242,739.75x = 138,013,178,751.56
  5. Step 5: Solve for x
    x = 138,013,178,751.56/242,739.75
  6. Step 6: Final answer
    x = 568,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.