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Finding the Third Proportional to 184,212.98 and 292,927.64

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Solution

The third proportional to 184,212.98 and 292,927.64 is: 465,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,212.98 : 292,927.64 = 292,927.64 : x
  2. Step 2: Convert to fraction form
    184,212.98/292,927.64 = 292,927.64/x
  3. Step 3: Cross multiply
    184,212.98x = 292,927.64 × 292,927.64
  4. Step 4: Simplify right side
    184,212.98x = 85,806,602,642.13
  5. Step 5: Solve for x
    x = 85,806,602,642.13/184,212.98
  6. Step 6: Final answer
    x = 465,801.06

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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.