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Finding the Third Proportional to 241,572 and 355,254

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Solution

The third proportional to 241,572 and 355,254 is: 522,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,572 : 355,254 = 355,254 : x
  2. Step 2: Convert to fraction form
    241,572/355,254 = 355,254/x
  3. Step 3: Cross multiply
    241,572x = 355,254 × 355,254
  4. Step 4: Simplify right side
    241,572x = 126,205,404,516
  5. Step 5: Solve for x
    x = 126,205,404,516/241,572
  6. Step 6: Final answer
    x = 522,433.91

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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.