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Finding the Third Proportional to 135,168 and 292,416

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Solution

The third proportional to 135,168 and 292,416 is: 632,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,168 : 292,416 = 292,416 : x
  2. Step 2: Convert to fraction form
    135,168/292,416 = 292,416/x
  3. Step 3: Cross multiply
    135,168x = 292,416 × 292,416
  4. Step 4: Simplify right side
    135,168x = 85,507,117,056
  5. Step 5: Solve for x
    x = 85,507,117,056/135,168
  6. Step 6: Final answer
    x = 632,598.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.