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Finding the Third Proportional to 245,934 and 371,160

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Solution

The third proportional to 245,934 and 371,160 is: 560,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,934 : 371,160 = 371,160 : x
  2. Step 2: Convert to fraction form
    245,934/371,160 = 371,160/x
  3. Step 3: Cross multiply
    245,934x = 371,160 × 371,160
  4. Step 4: Simplify right side
    245,934x = 137,759,745,600
  5. Step 5: Solve for x
    x = 137,759,745,600/245,934
  6. Step 6: Final answer
    x = 560,149.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.