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Finding the Third Proportional to 189,202 and 292,983

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Solution

The third proportional to 189,202 and 292,983 is: 453,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,202 : 292,983 = 292,983 : x
  2. Step 2: Convert to fraction form
    189,202/292,983 = 292,983/x
  3. Step 3: Cross multiply
    189,202x = 292,983 × 292,983
  4. Step 4: Simplify right side
    189,202x = 85,839,038,289
  5. Step 5: Solve for x
    x = 85,839,038,289/189,202
  6. Step 6: Final answer
    x = 453,689.91

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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.