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Finding the Third Proportional to 184,392 and 402,295.50

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Solution

The third proportional to 184,392 and 402,295.50 is: 877,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,392 : 402,295.50 = 402,295.50 : x
  2. Step 2: Convert to fraction form
    184,392/402,295.50 = 402,295.50/x
  3. Step 3: Cross multiply
    184,392x = 402,295.50 × 402,295.50
  4. Step 4: Simplify right side
    184,392x = 161,841,669,320.25
  5. Step 5: Solve for x
    x = 161,841,669,320.25/184,392
  6. Step 6: Final answer
    x = 877,704.40

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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.