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Finding the Third Proportional to 202,335 and 304,025

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Solution

The third proportional to 202,335 and 304,025 is: 456,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,335 : 304,025 = 304,025 : x
  2. Step 2: Convert to fraction form
    202,335/304,025 = 304,025/x
  3. Step 3: Cross multiply
    202,335x = 304,025 × 304,025
  4. Step 4: Simplify right side
    202,335x = 92,431,200,625
  5. Step 5: Solve for x
    x = 92,431,200,625/202,335
  6. Step 6: Final answer
    x = 456,822.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.