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Finding the Third Proportional to 116,621 and 243,598

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Solution

The third proportional to 116,621 and 243,598 is: 508,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,621 : 243,598 = 243,598 : x
  2. Step 2: Convert to fraction form
    116,621/243,598 = 243,598/x
  3. Step 3: Cross multiply
    116,621x = 243,598 × 243,598
  4. Step 4: Simplify right side
    116,621x = 59,339,985,604
  5. Step 5: Solve for x
    x = 59,339,985,604/116,621
  6. Step 6: Final answer
    x = 508,827.62

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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.