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Finding the Third Proportional to 241,156 and 354,764

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Solution

The third proportional to 241,156 and 354,764 is: 521,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,156 : 354,764 = 354,764 : x
  2. Step 2: Convert to fraction form
    241,156/354,764 = 354,764/x
  3. Step 3: Cross multiply
    241,156x = 354,764 × 354,764
  4. Step 4: Simplify right side
    241,156x = 125,857,495,696
  5. Step 5: Solve for x
    x = 125,857,495,696/241,156
  6. Step 6: Final answer
    x = 521,892.45

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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.