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Finding the Third Proportional to 201,127 and 442,430

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Solution

The third proportional to 201,127 and 442,430 is: 973,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,127 : 442,430 = 442,430 : x
  2. Step 2: Convert to fraction form
    201,127/442,430 = 442,430/x
  3. Step 3: Cross multiply
    201,127x = 442,430 × 442,430
  4. Step 4: Simplify right side
    201,127x = 195,744,304,900
  5. Step 5: Solve for x
    x = 195,744,304,900/201,127
  6. Step 6: Final answer
    x = 973,237.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.