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Finding the Third Proportional to 241,426 and 354,735

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Solution

The third proportional to 241,426 and 354,735 is: 521,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,426 : 354,735 = 354,735 : x
  2. Step 2: Convert to fraction form
    241,426/354,735 = 354,735/x
  3. Step 3: Cross multiply
    241,426x = 354,735 × 354,735
  4. Step 4: Simplify right side
    241,426x = 125,836,920,225
  5. Step 5: Solve for x
    x = 125,836,920,225/241,426
  6. Step 6: Final answer
    x = 521,223.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.