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Finding the Third Proportional to 111,492 and 238,248

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Solution

The third proportional to 111,492 and 238,248 is: 509,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,492 : 238,248 = 238,248 : x
  2. Step 2: Convert to fraction form
    111,492/238,248 = 238,248/x
  3. Step 3: Cross multiply
    111,492x = 238,248 × 238,248
  4. Step 4: Simplify right side
    111,492x = 56,762,109,504
  5. Step 5: Solve for x
    x = 56,762,109,504/111,492
  6. Step 6: Final answer
    x = 509,113.74

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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.