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Finding the Third Proportional to 202,370 and 306,580

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Solution

The third proportional to 202,370 and 306,580 is: 464,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,370 : 306,580 = 306,580 : x
  2. Step 2: Convert to fraction form
    202,370/306,580 = 306,580/x
  3. Step 3: Cross multiply
    202,370x = 306,580 × 306,580
  4. Step 4: Simplify right side
    202,370x = 93,991,296,400
  5. Step 5: Solve for x
    x = 93,991,296,400/202,370
  6. Step 6: Final answer
    x = 464,452.72

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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.