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Finding the Third Proportional to 114,928 and 243,537

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Solution

The third proportional to 114,928 and 243,537 is: 516,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,928 : 243,537 = 243,537 : x
  2. Step 2: Convert to fraction form
    114,928/243,537 = 243,537/x
  3. Step 3: Cross multiply
    114,928x = 243,537 × 243,537
  4. Step 4: Simplify right side
    114,928x = 59,310,270,369
  5. Step 5: Solve for x
    x = 59,310,270,369/114,928
  6. Step 6: Final answer
    x = 516,064.58

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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.