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Finding the Third Proportional to 223,577 and 328,236

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Solution

The third proportional to 223,577 and 328,236 is: 481,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,577 : 328,236 = 328,236 : x
  2. Step 2: Convert to fraction form
    223,577/328,236 = 328,236/x
  3. Step 3: Cross multiply
    223,577x = 328,236 × 328,236
  4. Step 4: Simplify right side
    223,577x = 107,738,871,696
  5. Step 5: Solve for x
    x = 107,738,871,696/223,577
  6. Step 6: Final answer
    x = 481,887.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.