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Finding the Third Proportional to 184,424 and 292,764

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Solution

The third proportional to 184,424 and 292,764 is: 464,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,424 : 292,764 = 292,764 : x
  2. Step 2: Convert to fraction form
    184,424/292,764 = 292,764/x
  3. Step 3: Cross multiply
    184,424x = 292,764 × 292,764
  4. Step 4: Simplify right side
    184,424x = 85,710,759,696
  5. Step 5: Solve for x
    x = 85,710,759,696/184,424
  6. Step 6: Final answer
    x = 464,748.40

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