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Finding the Third Proportional to 234,042 and 352,710

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Solution

The third proportional to 234,042 and 352,710 is: 531,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,042 : 352,710 = 352,710 : x
  2. Step 2: Convert to fraction form
    234,042/352,710 = 352,710/x
  3. Step 3: Cross multiply
    234,042x = 352,710 × 352,710
  4. Step 4: Simplify right side
    234,042x = 124,404,344,100
  5. Step 5: Solve for x
    x = 124,404,344,100/234,042
  6. Step 6: Final answer
    x = 531,547.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.