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Finding the Third Proportional to 234,961 and 352,513.50

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Solution

The third proportional to 234,961 and 352,513.50 is: 528,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,961 : 352,513.50 = 352,513.50 : x
  2. Step 2: Convert to fraction form
    234,961/352,513.50 = 352,513.50/x
  3. Step 3: Cross multiply
    234,961x = 352,513.50 × 352,513.50
  4. Step 4: Simplify right side
    234,961x = 124,265,767,682.25
  5. Step 5: Solve for x
    x = 124,265,767,682.25/234,961
  6. Step 6: Final answer
    x = 528,878.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.