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Finding the Third Proportional to 180,537 and 252,390

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Solution

The third proportional to 180,537 and 252,390 is: 352,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,537 : 252,390 = 252,390 : x
  2. Step 2: Convert to fraction form
    180,537/252,390 = 252,390/x
  3. Step 3: Cross multiply
    180,537x = 252,390 × 252,390
  4. Step 4: Simplify right side
    180,537x = 63,700,712,100
  5. Step 5: Solve for x
    x = 63,700,712,100/180,537
  6. Step 6: Final answer
    x = 352,840.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.