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Finding the Third Proportional to 234,146 and 348,627

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Solution

The third proportional to 234,146 and 348,627 is: 519,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,146 : 348,627 = 348,627 : x
  2. Step 2: Convert to fraction form
    234,146/348,627 = 348,627/x
  3. Step 3: Cross multiply
    234,146x = 348,627 × 348,627
  4. Step 4: Simplify right side
    234,146x = 121,540,785,129
  5. Step 5: Solve for x
    x = 121,540,785,129/234,146
  6. Step 6: Final answer
    x = 519,081.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.