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Finding the Third Proportional to 114,710 and 247,870

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Solution

The third proportional to 114,710 and 247,870 is: 535,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,710 : 247,870 = 247,870 : x
  2. Step 2: Convert to fraction form
    114,710/247,870 = 247,870/x
  3. Step 3: Cross multiply
    114,710x = 247,870 × 247,870
  4. Step 4: Simplify right side
    114,710x = 61,439,536,900
  5. Step 5: Solve for x
    x = 61,439,536,900/114,710
  6. Step 6: Final answer
    x = 535,607.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.