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Finding the Third Proportional to 242,246 and 371,843

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Solution

The third proportional to 242,246 and 371,843 is: 570,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,246 : 371,843 = 371,843 : x
  2. Step 2: Convert to fraction form
    242,246/371,843 = 371,843/x
  3. Step 3: Cross multiply
    242,246x = 371,843 × 371,843
  4. Step 4: Simplify right side
    242,246x = 138,267,216,649
  5. Step 5: Solve for x
    x = 138,267,216,649/242,246
  6. Step 6: Final answer
    x = 570,771.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.