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Finding the Third Proportional to 97,779 and 235,476

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Solution

The third proportional to 97,779 and 235,476 is: 567,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,779 : 235,476 = 235,476 : x
  2. Step 2: Convert to fraction form
    97,779/235,476 = 235,476/x
  3. Step 3: Cross multiply
    97,779x = 235,476 × 235,476
  4. Step 4: Simplify right side
    97,779x = 55,448,946,576
  5. Step 5: Solve for x
    x = 55,448,946,576/97,779
  6. Step 6: Final answer
    x = 567,084.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.