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Finding the Third Proportional to 131,130 and 282,996

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Solution

The third proportional to 131,130 and 282,996 is: 610,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,130 : 282,996 = 282,996 : x
  2. Step 2: Convert to fraction form
    131,130/282,996 = 282,996/x
  3. Step 3: Cross multiply
    131,130x = 282,996 × 282,996
  4. Step 4: Simplify right side
    131,130x = 80,086,736,016
  5. Step 5: Solve for x
    x = 80,086,736,016/131,130
  6. Step 6: Final answer
    x = 610,743.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.