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Finding the Third Proportional to 116,434.50 and 240,303

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Solution

The third proportional to 116,434.50 and 240,303 is: 495,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,434.50 : 240,303 = 240,303 : x
  2. Step 2: Convert to fraction form
    116,434.50/240,303 = 240,303/x
  3. Step 3: Cross multiply
    116,434.50x = 240,303 × 240,303
  4. Step 4: Simplify right side
    116,434.50x = 57,745,531,809
  5. Step 5: Solve for x
    x = 57,745,531,809/116,434.50
  6. Step 6: Final answer
    x = 495,948.64

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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.