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Finding the Third Proportional to 242,516 and 367,129

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Solution

The third proportional to 242,516 and 367,129 is: 555,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,516 : 367,129 = 367,129 : x
  2. Step 2: Convert to fraction form
    242,516/367,129 = 367,129/x
  3. Step 3: Cross multiply
    242,516x = 367,129 × 367,129
  4. Step 4: Simplify right side
    242,516x = 134,783,702,641
  5. Step 5: Solve for x
    x = 134,783,702,641/242,516
  6. Step 6: Final answer
    x = 555,772.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.