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Finding the Third Proportional to 116,630 and 243,614

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Solution

The third proportional to 116,630 and 243,614 is: 508,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,630 : 243,614 = 243,614 : x
  2. Step 2: Convert to fraction form
    116,630/243,614 = 243,614/x
  3. Step 3: Cross multiply
    116,630x = 243,614 × 243,614
  4. Step 4: Simplify right side
    116,630x = 59,347,780,996
  5. Step 5: Solve for x
    x = 59,347,780,996/116,630
  6. Step 6: Final answer
    x = 508,855.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.