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Finding the Third Proportional to 202,360 and 306,565

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Solution

The third proportional to 202,360 and 306,565 is: 464,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,360 : 306,565 = 306,565 : x
  2. Step 2: Convert to fraction form
    202,360/306,565 = 306,565/x
  3. Step 3: Cross multiply
    202,360x = 306,565 × 306,565
  4. Step 4: Simplify right side
    202,360x = 93,982,099,225
  5. Step 5: Solve for x
    x = 93,982,099,225/202,360
  6. Step 6: Final answer
    x = 464,430.22

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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.