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Finding the Third Proportional to 134,214 and 292,410

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Solution

The third proportional to 134,214 and 292,410 is: 637,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,214 : 292,410 = 292,410 : x
  2. Step 2: Convert to fraction form
    134,214/292,410 = 292,410/x
  3. Step 3: Cross multiply
    134,214x = 292,410 × 292,410
  4. Step 4: Simplify right side
    134,214x = 85,503,608,100
  5. Step 5: Solve for x
    x = 85,503,608,100/134,214
  6. Step 6: Final answer
    x = 637,069.22

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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.