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Finding the Third Proportional to 111,510 and 240,516

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Solution

The third proportional to 111,510 and 240,516 is: 518,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,510 : 240,516 = 240,516 : x
  2. Step 2: Convert to fraction form
    111,510/240,516 = 240,516/x
  3. Step 3: Cross multiply
    111,510x = 240,516 × 240,516
  4. Step 4: Simplify right side
    111,510x = 57,847,946,256
  5. Step 5: Solve for x
    x = 57,847,946,256/111,510
  6. Step 6: Final answer
    x = 518,769.14

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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.