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Finding the Third Proportional to 109,882 and 237,284

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Solution

The third proportional to 109,882 and 237,284 is: 512,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882 : 237,284 = 237,284 : x
  2. Step 2: Convert to fraction form
    109,882/237,284 = 237,284/x
  3. Step 3: Cross multiply
    109,882x = 237,284 × 237,284
  4. Step 4: Simplify right side
    109,882x = 56,303,696,656
  5. Step 5: Solve for x
    x = 56,303,696,656/109,882
  6. Step 6: Final answer
    x = 512,401.45

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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.