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Finding the Third Proportional to 117,336 and 240,139

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Solution

The third proportional to 117,336 and 240,139 is: 491,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,336 : 240,139 = 240,139 : x
  2. Step 2: Convert to fraction form
    117,336/240,139 = 240,139/x
  3. Step 3: Cross multiply
    117,336x = 240,139 × 240,139
  4. Step 4: Simplify right side
    117,336x = 57,666,739,321
  5. Step 5: Solve for x
    x = 57,666,739,321/117,336
  6. Step 6: Final answer
    x = 491,466.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.