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Finding the Third Proportional to 184,896 and 294,840

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Solution

The third proportional to 184,896 and 294,840 is: 470,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,896 : 294,840 = 294,840 : x
  2. Step 2: Convert to fraction form
    184,896/294,840 = 294,840/x
  3. Step 3: Cross multiply
    184,896x = 294,840 × 294,840
  4. Step 4: Simplify right side
    184,896x = 86,930,625,600
  5. Step 5: Solve for x
    x = 86,930,625,600/184,896
  6. Step 6: Final answer
    x = 470,159.58

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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.