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Finding the Third Proportional to 144,085 and 231,506

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Solution

The third proportional to 144,085 and 231,506 is: 371,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,085 : 231,506 = 231,506 : x
  2. Step 2: Convert to fraction form
    144,085/231,506 = 231,506/x
  3. Step 3: Cross multiply
    144,085x = 231,506 × 231,506
  4. Step 4: Simplify right side
    144,085x = 53,595,028,036
  5. Step 5: Solve for x
    x = 53,595,028,036/144,085
  6. Step 6: Final answer
    x = 371,968.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.