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Finding the Third Proportional to 228,242 and 354,792

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Solution

The third proportional to 228,242 and 354,792 is: 551,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,242 : 354,792 = 354,792 : x
  2. Step 2: Convert to fraction form
    228,242/354,792 = 354,792/x
  3. Step 3: Cross multiply
    228,242x = 354,792 × 354,792
  4. Step 4: Simplify right side
    228,242x = 125,877,363,264
  5. Step 5: Solve for x
    x = 125,877,363,264/228,242
  6. Step 6: Final answer
    x = 551,508.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.