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Finding the Third Proportional to 189,004 and 292,438

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Solution

The third proportional to 189,004 and 292,438 is: 452,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,004 : 292,438 = 292,438 : x
  2. Step 2: Convert to fraction form
    189,004/292,438 = 292,438/x
  3. Step 3: Cross multiply
    189,004x = 292,438 × 292,438
  4. Step 4: Simplify right side
    189,004x = 85,519,983,844
  5. Step 5: Solve for x
    x = 85,519,983,844/189,004
  6. Step 6: Final answer
    x = 452,477.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.