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Finding the Third Proportional to 184,322 and 293,987

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Solution

The third proportional to 184,322 and 293,987 is: 468,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,322 : 293,987 = 293,987 : x
  2. Step 2: Convert to fraction form
    184,322/293,987 = 293,987/x
  3. Step 3: Cross multiply
    184,322x = 293,987 × 293,987
  4. Step 4: Simplify right side
    184,322x = 86,428,356,169
  5. Step 5: Solve for x
    x = 86,428,356,169/184,322
  6. Step 6: Final answer
    x = 468,898.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.