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Finding the Third Proportional to 184,372.50 and 402,117

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Solution

The third proportional to 184,372.50 and 402,117 is: 877,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,372.50 : 402,117 = 402,117 : x
  2. Step 2: Convert to fraction form
    184,372.50/402,117 = 402,117/x
  3. Step 3: Cross multiply
    184,372.50x = 402,117 × 402,117
  4. Step 4: Simplify right side
    184,372.50x = 161,698,081,689
  5. Step 5: Solve for x
    x = 161,698,081,689/184,372.50
  6. Step 6: Final answer
    x = 877,018.44

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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.