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Finding the Third Proportional to 180,146 and 391,060

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Solution

The third proportional to 180,146 and 391,060 is: 848,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,146 : 391,060 = 391,060 : x
  2. Step 2: Convert to fraction form
    180,146/391,060 = 391,060/x
  3. Step 3: Cross multiply
    180,146x = 391,060 × 391,060
  4. Step 4: Simplify right side
    180,146x = 152,927,923,600
  5. Step 5: Solve for x
    x = 152,927,923,600/180,146
  6. Step 6: Final answer
    x = 848,911.01

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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.