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Finding the Third Proportional to 191,985.75 and 264,647.25

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Solution

The third proportional to 191,985.75 and 264,647.25 is: 364,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,985.75 : 264,647.25 = 264,647.25 : x
  2. Step 2: Convert to fraction form
    191,985.75/264,647.25 = 264,647.25/x
  3. Step 3: Cross multiply
    191,985.75x = 264,647.25 × 264,647.25
  4. Step 4: Simplify right side
    191,985.75x = 70,038,166,932.56
  5. Step 5: Solve for x
    x = 70,038,166,932.56/191,985.75
  6. Step 6: Final answer
    x = 364,809.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.