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Finding the Third Proportional to 180,537 and 391,206

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Solution

The third proportional to 180,537 and 391,206 is: 847,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,537 : 391,206 = 391,206 : x
  2. Step 2: Convert to fraction form
    180,537/391,206 = 391,206/x
  3. Step 3: Cross multiply
    180,537x = 391,206 × 391,206
  4. Step 4: Simplify right side
    180,537x = 153,042,134,436
  5. Step 5: Solve for x
    x = 153,042,134,436/180,537
  6. Step 6: Final answer
    x = 847,705.09

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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.