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Finding the Third Proportional to 203,133 and 432,510

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Solution

The third proportional to 203,133 and 432,510 is: 920,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,133 : 432,510 = 432,510 : x
  2. Step 2: Convert to fraction form
    203,133/432,510 = 432,510/x
  3. Step 3: Cross multiply
    203,133x = 432,510 × 432,510
  4. Step 4: Simplify right side
    203,133x = 187,064,900,100
  5. Step 5: Solve for x
    x = 187,064,900,100/203,133
  6. Step 6: Final answer
    x = 920,898.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.