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Finding the Third Proportional to 175,495 and 379,011

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Solution

The third proportional to 175,495 and 379,011 is: 818,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,495 : 379,011 = 379,011 : x
  2. Step 2: Convert to fraction form
    175,495/379,011 = 379,011/x
  3. Step 3: Cross multiply
    175,495x = 379,011 × 379,011
  4. Step 4: Simplify right side
    175,495x = 143,649,338,121
  5. Step 5: Solve for x
    x = 143,649,338,121/175,495
  6. Step 6: Final answer
    x = 818,538.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.