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Finding the Third Proportional to 94,200 and 207,354

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Solution

The third proportional to 94,200 and 207,354 is: 456,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,200 : 207,354 = 207,354 : x
  2. Step 2: Convert to fraction form
    94,200/207,354 = 207,354/x
  3. Step 3: Cross multiply
    94,200x = 207,354 × 207,354
  4. Step 4: Simplify right side
    94,200x = 42,995,681,316
  5. Step 5: Solve for x
    x = 42,995,681,316/94,200
  6. Step 6: Final answer
    x = 456,429.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.