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Finding the Third Proportional to 140,283 and 310,086

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Solution

The third proportional to 140,283 and 310,086 is: 685,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,283 : 310,086 = 310,086 : x
  2. Step 2: Convert to fraction form
    140,283/310,086 = 310,086/x
  3. Step 3: Cross multiply
    140,283x = 310,086 × 310,086
  4. Step 4: Simplify right side
    140,283x = 96,153,327,396
  5. Step 5: Solve for x
    x = 96,153,327,396/140,283
  6. Step 6: Final answer
    x = 685,423.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.