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Finding the Third Proportional to 233,210 and 356,575

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Solution

The third proportional to 233,210 and 356,575 is: 545,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,210 : 356,575 = 356,575 : x
  2. Step 2: Convert to fraction form
    233,210/356,575 = 356,575/x
  3. Step 3: Cross multiply
    233,210x = 356,575 × 356,575
  4. Step 4: Simplify right side
    233,210x = 127,145,730,625
  5. Step 5: Solve for x
    x = 127,145,730,625/233,210
  6. Step 6: Final answer
    x = 545,198.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.