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Finding the Third Proportional to 144,263 and 201,774

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Solution

The third proportional to 144,263 and 201,774 is: 282,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,263 : 201,774 = 201,774 : x
  2. Step 2: Convert to fraction form
    144,263/201,774 = 201,774/x
  3. Step 3: Cross multiply
    144,263x = 201,774 × 201,774
  4. Step 4: Simplify right side
    144,263x = 40,712,747,076
  5. Step 5: Solve for x
    x = 40,712,747,076/144,263
  6. Step 6: Final answer
    x = 282,211.98

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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.