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Finding the Third Proportional to 144,261 and 201,771

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Solution

The third proportional to 144,261 and 201,771 is: 282,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,261 : 201,771 = 201,771 : x
  2. Step 2: Convert to fraction form
    144,261/201,771 = 201,771/x
  3. Step 3: Cross multiply
    144,261x = 201,771 × 201,771
  4. Step 4: Simplify right side
    144,261x = 40,711,536,441
  5. Step 5: Solve for x
    x = 40,711,536,441/144,261
  6. Step 6: Final answer
    x = 282,207.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.