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Finding the Third Proportional to 114,413 and 246,960

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Solution

The third proportional to 114,413 and 246,960 is: 533,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,413 : 246,960 = 246,960 : x
  2. Step 2: Convert to fraction form
    114,413/246,960 = 246,960/x
  3. Step 3: Cross multiply
    114,413x = 246,960 × 246,960
  4. Step 4: Simplify right side
    114,413x = 60,989,241,600
  5. Step 5: Solve for x
    x = 60,989,241,600/114,413
  6. Step 6: Final answer
    x = 533,062.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.