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Finding the Third Proportional to 169,881 and 375,969

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Solution

The third proportional to 169,881 and 375,969 is: 832,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,881 : 375,969 = 375,969 : x
  2. Step 2: Convert to fraction form
    169,881/375,969 = 375,969/x
  3. Step 3: Cross multiply
    169,881x = 375,969 × 375,969
  4. Step 4: Simplify right side
    169,881x = 141,352,688,961
  5. Step 5: Solve for x
    x = 141,352,688,961/169,881
  6. Step 6: Final answer
    x = 832,068.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.