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Finding the Third Proportional to 205,506 and 322,461

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Solution

The third proportional to 205,506 and 322,461 is: 505,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,506 : 322,461 = 322,461 : x
  2. Step 2: Convert to fraction form
    205,506/322,461 = 322,461/x
  3. Step 3: Cross multiply
    205,506x = 322,461 × 322,461
  4. Step 4: Simplify right side
    205,506x = 103,981,096,521
  5. Step 5: Solve for x
    x = 103,981,096,521/205,506
  6. Step 6: Final answer
    x = 505,975.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.