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Finding the Third Proportional to 206,136 and 434,403

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Solution

The third proportional to 206,136 and 434,403 is: 915,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136 : 434,403 = 434,403 : x
  2. Step 2: Convert to fraction form
    206,136/434,403 = 434,403/x
  3. Step 3: Cross multiply
    206,136x = 434,403 × 434,403
  4. Step 4: Simplify right side
    206,136x = 188,705,966,409
  5. Step 5: Solve for x
    x = 188,705,966,409/206,136
  6. Step 6: Final answer
    x = 915,444.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.