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Finding the Third Proportional to 233,498 and 341,918

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Solution

The third proportional to 233,498 and 341,918 is: 500,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,498 : 341,918 = 341,918 : x
  2. Step 2: Convert to fraction form
    233,498/341,918 = 341,918/x
  3. Step 3: Cross multiply
    233,498x = 341,918 × 341,918
  4. Step 4: Simplify right side
    233,498x = 116,907,918,724
  5. Step 5: Solve for x
    x = 116,907,918,724/233,498
  6. Step 6: Final answer
    x = 500,680.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.