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Finding the Third Proportional to 180,208 and 391,160

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Solution

The third proportional to 180,208 and 391,160 is: 849,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,208 : 391,160 = 391,160 : x
  2. Step 2: Convert to fraction form
    180,208/391,160 = 391,160/x
  3. Step 3: Cross multiply
    180,208x = 391,160 × 391,160
  4. Step 4: Simplify right side
    180,208x = 153,006,145,600
  5. Step 5: Solve for x
    x = 153,006,145,600/180,208
  6. Step 6: Final answer
    x = 849,053.01

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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.