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Finding the Third Proportional to 202,358 and 306,562

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Solution

The third proportional to 202,358 and 306,562 is: 464,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,358 : 306,562 = 306,562 : x
  2. Step 2: Convert to fraction form
    202,358/306,562 = 306,562/x
  3. Step 3: Cross multiply
    202,358x = 306,562 × 306,562
  4. Step 4: Simplify right side
    202,358x = 93,980,259,844
  5. Step 5: Solve for x
    x = 93,980,259,844/202,358
  6. Step 6: Final answer
    x = 464,425.72

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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.