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Finding the Third Proportional to 184,215 and 292,930.50

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Solution

The third proportional to 184,215 and 292,930.50 is: 465,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,215 : 292,930.50 = 292,930.50 : x
  2. Step 2: Convert to fraction form
    184,215/292,930.50 = 292,930.50/x
  3. Step 3: Cross multiply
    184,215x = 292,930.50 × 292,930.50
  4. Step 4: Simplify right side
    184,215x = 85,808,277,830.25
  5. Step 5: Solve for x
    x = 85,808,277,830.25/184,215
  6. Step 6: Final answer
    x = 465,805.05

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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.