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Finding the Third Proportional to 184,572 and 402,493.50

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Solution

The third proportional to 184,572 and 402,493.50 is: 877,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,572 : 402,493.50 = 402,493.50 : x
  2. Step 2: Convert to fraction form
    184,572/402,493.50 = 402,493.50/x
  3. Step 3: Cross multiply
    184,572x = 402,493.50 × 402,493.50
  4. Step 4: Simplify right side
    184,572x = 162,001,017,542.25
  5. Step 5: Solve for x
    x = 162,001,017,542.25/184,572
  6. Step 6: Final answer
    x = 877,711.77

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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.