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Finding the Third Proportional to 92,506 and 200,564

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Solution

The third proportional to 92,506 and 200,564 is: 434,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,506 : 200,564 = 200,564 : x
  2. Step 2: Convert to fraction form
    92,506/200,564 = 200,564/x
  3. Step 3: Cross multiply
    92,506x = 200,564 × 200,564
  4. Step 4: Simplify right side
    92,506x = 40,225,918,096
  5. Step 5: Solve for x
    x = 40,225,918,096/92,506
  6. Step 6: Final answer
    x = 434,846.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.