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Finding the Third Proportional to 161,495 and 377,210

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Solution

The third proportional to 161,495 and 377,210 is: 881,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,495 : 377,210 = 377,210 : x
  2. Step 2: Convert to fraction form
    161,495/377,210 = 377,210/x
  3. Step 3: Cross multiply
    161,495x = 377,210 × 377,210
  4. Step 4: Simplify right side
    161,495x = 142,287,384,100
  5. Step 5: Solve for x
    x = 142,287,384,100/161,495
  6. Step 6: Final answer
    x = 881,063.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.