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Finding the Third Proportional to 180,196 and 391,136

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Solution

The third proportional to 180,196 and 391,136 is: 849,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,196 : 391,136 = 391,136 : x
  2. Step 2: Convert to fraction form
    180,196/391,136 = 391,136/x
  3. Step 3: Cross multiply
    180,196x = 391,136 × 391,136
  4. Step 4: Simplify right side
    180,196x = 152,987,370,496
  5. Step 5: Solve for x
    x = 152,987,370,496/180,196
  6. Step 6: Final answer
    x = 849,005.36

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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.