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Finding the Third Proportional to 184,371 and 402,113

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Solution

The third proportional to 184,371 and 402,113 is: 877,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,371 : 402,113 = 402,113 : x
  2. Step 2: Convert to fraction form
    184,371/402,113 = 402,113/x
  3. Step 3: Cross multiply
    184,371x = 402,113 × 402,113
  4. Step 4: Simplify right side
    184,371x = 161,694,864,769
  5. Step 5: Solve for x
    x = 161,694,864,769/184,371
  6. Step 6: Final answer
    x = 877,008.12

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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.