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Finding the Third Proportional to 131,214.94 and 275,646.38

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Solution

The third proportional to 131,214.94 and 275,646.38 is: 579,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,214.94 : 275,646.38 = 275,646.38 : x
  2. Step 2: Convert to fraction form
    131,214.94/275,646.38 = 275,646.38/x
  3. Step 3: Cross multiply
    131,214.94x = 275,646.38 × 275,646.38
  4. Step 4: Simplify right side
    131,214.94x = 75,980,924,050.64
  5. Step 5: Solve for x
    x = 75,980,924,050.64/131,214.94
  6. Step 6: Final answer
    x = 579,056.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.