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Finding the Third Proportional to 111,411 and 243,875

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Solution

The third proportional to 111,411 and 243,875 is: 533,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,411 : 243,875 = 243,875 : x
  2. Step 2: Convert to fraction form
    111,411/243,875 = 243,875/x
  3. Step 3: Cross multiply
    111,411x = 243,875 × 243,875
  4. Step 4: Simplify right side
    111,411x = 59,475,015,625
  5. Step 5: Solve for x
    x = 59,475,015,625/111,411
  6. Step 6: Final answer
    x = 533,834.32

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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.