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Finding the Third Proportional to 131,010 and 282,937

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Solution

The third proportional to 131,010 and 282,937 is: 611,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,010 : 282,937 = 282,937 : x
  2. Step 2: Convert to fraction form
    131,010/282,937 = 282,937/x
  3. Step 3: Cross multiply
    131,010x = 282,937 × 282,937
  4. Step 4: Simplify right side
    131,010x = 80,053,345,969
  5. Step 5: Solve for x
    x = 80,053,345,969/131,010
  6. Step 6: Final answer
    x = 611,047.60

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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.