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Finding the Third Proportional to 92,570 and 201,340

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Solution

The third proportional to 92,570 and 201,340 is: 437,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,570 : 201,340 = 201,340 : x
  2. Step 2: Convert to fraction form
    92,570/201,340 = 201,340/x
  3. Step 3: Cross multiply
    92,570x = 201,340 × 201,340
  4. Step 4: Simplify right side
    92,570x = 40,537,795,600
  5. Step 5: Solve for x
    x = 40,537,795,600/92,570
  6. Step 6: Final answer
    x = 437,915.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.