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Finding the Third Proportional to 184,545.38 and 402,442.50

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Solution

The third proportional to 184,545.38 and 402,442.50 is: 877,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,545.38 : 402,442.50 = 402,442.50 : x
  2. Step 2: Convert to fraction form
    184,545.38/402,442.50 = 402,442.50/x
  3. Step 3: Cross multiply
    184,545.38x = 402,442.50 × 402,442.50
  4. Step 4: Simplify right side
    184,545.38x = 161,959,965,806.25
  5. Step 5: Solve for x
    x = 161,959,965,806.25/184,545.38
  6. Step 6: Final answer
    x = 877,615.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.