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Finding the Third Proportional to 183,902 and 286,750

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Solution

The third proportional to 183,902 and 286,750 is: 447,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,902 : 286,750 = 286,750 : x
  2. Step 2: Convert to fraction form
    183,902/286,750 = 286,750/x
  3. Step 3: Cross multiply
    183,902x = 286,750 × 286,750
  4. Step 4: Simplify right side
    183,902x = 82,225,562,500
  5. Step 5: Solve for x
    x = 82,225,562,500/183,902
  6. Step 6: Final answer
    x = 447,116.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.