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Finding the Third Proportional to 113,160 and 264,228

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Solution

The third proportional to 113,160 and 264,228 is: 616,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,160 : 264,228 = 264,228 : x
  2. Step 2: Convert to fraction form
    113,160/264,228 = 264,228/x
  3. Step 3: Cross multiply
    113,160x = 264,228 × 264,228
  4. Step 4: Simplify right side
    113,160x = 69,816,435,984
  5. Step 5: Solve for x
    x = 69,816,435,984/113,160
  6. Step 6: Final answer
    x = 616,970.98

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.