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Finding the Third Proportional to 184,819 and 402,808

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Solution

The third proportional to 184,819 and 402,808 is: 877,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,819 : 402,808 = 402,808 : x
  2. Step 2: Convert to fraction form
    184,819/402,808 = 402,808/x
  3. Step 3: Cross multiply
    184,819x = 402,808 × 402,808
  4. Step 4: Simplify right side
    184,819x = 162,254,284,864
  5. Step 5: Solve for x
    x = 162,254,284,864/184,819
  6. Step 6: Final answer
    x = 877,909.12

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Why These Related Problems?

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