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Finding the Third Proportional to 197,778.50 and 292,968.50

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Solution

The third proportional to 197,778.50 and 292,968.50 is: 433,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,778.50 : 292,968.50 = 292,968.50 : x
  2. Step 2: Convert to fraction form
    197,778.50/292,968.50 = 292,968.50/x
  3. Step 3: Cross multiply
    197,778.50x = 292,968.50 × 292,968.50
  4. Step 4: Simplify right side
    197,778.50x = 85,830,541,992.25
  5. Step 5: Solve for x
    x = 85,830,541,992.25/197,778.50
  6. Step 6: Final answer
    x = 433,973.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.