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Finding the Third Proportional to 114,894 and 243,036

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Solution

The third proportional to 114,894 and 243,036 is: 514,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,894 : 243,036 = 243,036 : x
  2. Step 2: Convert to fraction form
    114,894/243,036 = 243,036/x
  3. Step 3: Cross multiply
    114,894x = 243,036 × 243,036
  4. Step 4: Simplify right side
    114,894x = 59,066,497,296
  5. Step 5: Solve for x
    x = 59,066,497,296/114,894
  6. Step 6: Final answer
    x = 514,095.58

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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.