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Finding the Third Proportional to 119,032 and 184,428

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Solution

The third proportional to 119,032 and 184,428 is: 285,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,032 : 184,428 = 184,428 : x
  2. Step 2: Convert to fraction form
    119,032/184,428 = 184,428/x
  3. Step 3: Cross multiply
    119,032x = 184,428 × 184,428
  4. Step 4: Simplify right side
    119,032x = 34,013,687,184
  5. Step 5: Solve for x
    x = 34,013,687,184/119,032
  6. Step 6: Final answer
    x = 285,752.46

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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.