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Finding the Third Proportional to 242,245 and 371,842

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Solution

The third proportional to 242,245 and 371,842 is: 570,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245 : 371,842 = 371,842 : x
  2. Step 2: Convert to fraction form
    242,245/371,842 = 371,842/x
  3. Step 3: Cross multiply
    242,245x = 371,842 × 371,842
  4. Step 4: Simplify right side
    242,245x = 138,266,472,964
  5. Step 5: Solve for x
    x = 138,266,472,964/242,245
  6. Step 6: Final answer
    x = 570,771.21

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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.