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Finding the Third Proportional to 116,374.50 and 240,030

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Solution

The third proportional to 116,374.50 and 240,030 is: 495,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,374.50 : 240,030 = 240,030 : x
  2. Step 2: Convert to fraction form
    116,374.50/240,030 = 240,030/x
  3. Step 3: Cross multiply
    116,374.50x = 240,030 × 240,030
  4. Step 4: Simplify right side
    116,374.50x = 57,614,400,900
  5. Step 5: Solve for x
    x = 57,614,400,900/116,374.50
  6. Step 6: Final answer
    x = 495,077.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.