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Finding the Third Proportional to 116,432.12 and 240,296.63

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Solution

The third proportional to 116,432.12 and 240,296.63 is: 495,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,432.12 : 240,296.63 = 240,296.63 : x
  2. Step 2: Convert to fraction form
    116,432.12/240,296.63 = 240,296.63/x
  3. Step 3: Cross multiply
    116,432.12x = 240,296.63 × 240,296.63
  4. Step 4: Simplify right side
    116,432.12x = 57,742,467,986.39
  5. Step 5: Solve for x
    x = 57,742,467,986.39/116,432.12
  6. Step 6: Final answer
    x = 495,932.46

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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.