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Finding the Third Proportional to 114,963 and 243,798

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Solution

The third proportional to 114,963 and 243,798 is: 517,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,963 : 243,798 = 243,798 : x
  2. Step 2: Convert to fraction form
    114,963/243,798 = 243,798/x
  3. Step 3: Cross multiply
    114,963x = 243,798 × 243,798
  4. Step 4: Simplify right side
    114,963x = 59,437,464,804
  5. Step 5: Solve for x
    x = 59,437,464,804/114,963
  6. Step 6: Final answer
    x = 517,013.86

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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.