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Finding the Third Proportional to 135,364.50 and 292,180.50

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Solution

The third proportional to 135,364.50 and 292,180.50 is: 630,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364.50 : 292,180.50 = 292,180.50 : x
  2. Step 2: Convert to fraction form
    135,364.50/292,180.50 = 292,180.50/x
  3. Step 3: Cross multiply
    135,364.50x = 292,180.50 × 292,180.50
  4. Step 4: Simplify right side
    135,364.50x = 85,369,444,580.25
  5. Step 5: Solve for x
    x = 85,369,444,580.25/135,364.50
  6. Step 6: Final answer
    x = 630,663.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.