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Finding the Third Proportional to 40,288 and 88,352

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Solution

The third proportional to 40,288 and 88,352 is: 193,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,288 : 88,352 = 88,352 : x
  2. Step 2: Convert to fraction form
    40,288/88,352 = 88,352/x
  3. Step 3: Cross multiply
    40,288x = 88,352 × 88,352
  4. Step 4: Simplify right side
    40,288x = 7,806,075,904
  5. Step 5: Solve for x
    x = 7,806,075,904/40,288
  6. Step 6: Final answer
    x = 193,756.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.