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Finding the Third Proportional to 114,931 and 243,685

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Solution

The third proportional to 114,931 and 243,685 is: 516,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,931 : 243,685 = 243,685 : x
  2. Step 2: Convert to fraction form
    114,931/243,685 = 243,685/x
  3. Step 3: Cross multiply
    114,931x = 243,685 × 243,685
  4. Step 4: Simplify right side
    114,931x = 59,382,379,225
  5. Step 5: Solve for x
    x = 59,382,379,225/114,931
  6. Step 6: Final answer
    x = 516,678.52

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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.