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Finding the Third Proportional to 117,476 and 207,352

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Solution

The third proportional to 117,476 and 207,352 is: 365,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,476 : 207,352 = 207,352 : x
  2. Step 2: Convert to fraction form
    117,476/207,352 = 207,352/x
  3. Step 3: Cross multiply
    117,476x = 207,352 × 207,352
  4. Step 4: Simplify right side
    117,476x = 42,994,851,904
  5. Step 5: Solve for x
    x = 42,994,851,904/117,476
  6. Step 6: Final answer
    x = 365,988.39

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.