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Finding the Third Proportional to 114,102 and 240,948

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Solution

The third proportional to 114,102 and 240,948 is: 508,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,102 : 240,948 = 240,948 : x
  2. Step 2: Convert to fraction form
    114,102/240,948 = 240,948/x
  3. Step 3: Cross multiply
    114,102x = 240,948 × 240,948
  4. Step 4: Simplify right side
    114,102x = 58,055,938,704
  5. Step 5: Solve for x
    x = 58,055,938,704/114,102
  6. Step 6: Final answer
    x = 508,807.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.