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Finding the Third Proportional to 200,560 and 427,160

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Solution

The third proportional to 200,560 and 427,160 is: 909,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,560 : 427,160 = 427,160 : x
  2. Step 2: Convert to fraction form
    200,560/427,160 = 427,160/x
  3. Step 3: Cross multiply
    200,560x = 427,160 × 427,160
  4. Step 4: Simplify right side
    200,560x = 182,465,665,600
  5. Step 5: Solve for x
    x = 182,465,665,600/200,560
  6. Step 6: Final answer
    x = 909,780.94

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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.