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Finding the Third Proportional to 114,084 and 247,842

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Solution

The third proportional to 114,084 and 247,842 is: 538,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084 : 247,842 = 247,842 : x
  2. Step 2: Convert to fraction form
    114,084/247,842 = 247,842/x
  3. Step 3: Cross multiply
    114,084x = 247,842 × 247,842
  4. Step 4: Simplify right side
    114,084x = 61,425,656,964
  5. Step 5: Solve for x
    x = 61,425,656,964/114,084
  6. Step 6: Final answer
    x = 538,424.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.