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Finding the Third Proportional to 131,164 and 289,893.50

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Solution

The third proportional to 131,164 and 289,893.50 is: 640,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,164 : 289,893.50 = 289,893.50 : x
  2. Step 2: Convert to fraction form
    131,164/289,893.50 = 289,893.50/x
  3. Step 3: Cross multiply
    131,164x = 289,893.50 × 289,893.50
  4. Step 4: Simplify right side
    131,164x = 84,038,241,342.25
  5. Step 5: Solve for x
    x = 84,038,241,342.25/131,164
  6. Step 6: Final answer
    x = 640,711.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.