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Finding the Third Proportional to 114,658.25 and 243,192.25

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Solution

The third proportional to 114,658.25 and 243,192.25 is: 515,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,658.25 : 243,192.25 = 243,192.25 : x
  2. Step 2: Convert to fraction form
    114,658.25/243,192.25 = 243,192.25/x
  3. Step 3: Cross multiply
    114,658.25x = 243,192.25 × 243,192.25
  4. Step 4: Simplify right side
    114,658.25x = 59,142,470,460.06
  5. Step 5: Solve for x
    x = 59,142,470,460.06/114,658.25
  6. Step 6: Final answer
    x = 515,815.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.