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Finding the Third Proportional to 111,718 and 239,428

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Solution

The third proportional to 111,718 and 239,428 is: 513,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,718 : 239,428 = 239,428 : x
  2. Step 2: Convert to fraction form
    111,718/239,428 = 239,428/x
  3. Step 3: Cross multiply
    111,718x = 239,428 × 239,428
  4. Step 4: Simplify right side
    111,718x = 57,325,767,184
  5. Step 5: Solve for x
    x = 57,325,767,184/111,718
  6. Step 6: Final answer
    x = 513,129.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.