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Finding the Third Proportional to 169,140 and 368,088

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Solution

The third proportional to 169,140 and 368,088 is: 801,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,140 : 368,088 = 368,088 : x
  2. Step 2: Convert to fraction form
    169,140/368,088 = 368,088/x
  3. Step 3: Cross multiply
    169,140x = 368,088 × 368,088
  4. Step 4: Simplify right side
    169,140x = 135,488,775,744
  5. Step 5: Solve for x
    x = 135,488,775,744/169,140
  6. Step 6: Final answer
    x = 801,045.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.