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Finding the Third Proportional to 111,178 and 243,118

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Solution

The third proportional to 111,178 and 243,118 is: 531,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,178 : 243,118 = 243,118 : x
  2. Step 2: Convert to fraction form
    111,178/243,118 = 243,118/x
  3. Step 3: Cross multiply
    111,178x = 243,118 × 243,118
  4. Step 4: Simplify right side
    111,178x = 59,106,361,924
  5. Step 5: Solve for x
    x = 59,106,361,924/111,178
  6. Step 6: Final answer
    x = 531,637.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.