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Finding the Third Proportional to 111,084 and 243,784

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Solution

The third proportional to 111,084 and 243,784 is: 535,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,084 : 243,784 = 243,784 : x
  2. Step 2: Convert to fraction form
    111,084/243,784 = 243,784/x
  3. Step 3: Cross multiply
    111,084x = 243,784 × 243,784
  4. Step 4: Simplify right side
    111,084x = 59,430,638,656
  5. Step 5: Solve for x
    x = 59,430,638,656/111,084
  6. Step 6: Final answer
    x = 535,006.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.