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Finding the Third Proportional to 134,354 and 292,900

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Solution

The third proportional to 134,354 and 292,900 is: 638,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,354 : 292,900 = 292,900 : x
  2. Step 2: Convert to fraction form
    134,354/292,900 = 292,900/x
  3. Step 3: Cross multiply
    134,354x = 292,900 × 292,900
  4. Step 4: Simplify right side
    134,354x = 85,790,410,000
  5. Step 5: Solve for x
    x = 85,790,410,000/134,354
  6. Step 6: Final answer
    x = 638,540.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.