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Finding the Third Proportional to 114,088 and 242,954

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Solution

The third proportional to 114,088 and 242,954 is: 517,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,088 : 242,954 = 242,954 : x
  2. Step 2: Convert to fraction form
    114,088/242,954 = 242,954/x
  3. Step 3: Cross multiply
    114,088x = 242,954 × 242,954
  4. Step 4: Simplify right side
    114,088x = 59,026,646,116
  5. Step 5: Solve for x
    x = 59,026,646,116/114,088
  6. Step 6: Final answer
    x = 517,378.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.