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Finding the Third Proportional to 116,117 and 237,153

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Solution

The third proportional to 116,117 and 237,153 is: 484,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,117 : 237,153 = 237,153 : x
  2. Step 2: Convert to fraction form
    116,117/237,153 = 237,153/x
  3. Step 3: Cross multiply
    116,117x = 237,153 × 237,153
  4. Step 4: Simplify right side
    116,117x = 56,241,545,409
  5. Step 5: Solve for x
    x = 56,241,545,409/116,117
  6. Step 6: Final answer
    x = 484,352.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.