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Finding the Third Proportional to 116,946.75 and 241,916.25

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Solution

The third proportional to 116,946.75 and 241,916.25 is: 500,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,946.75 : 241,916.25 = 241,916.25 : x
  2. Step 2: Convert to fraction form
    116,946.75/241,916.25 = 241,916.25/x
  3. Step 3: Cross multiply
    116,946.75x = 241,916.25 × 241,916.25
  4. Step 4: Simplify right side
    116,946.75x = 58,523,472,014.06
  5. Step 5: Solve for x
    x = 58,523,472,014.06/116,946.75
  6. Step 6: Final answer
    x = 500,428.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.