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Finding the Third Proportional to 183,870 and 288,927

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Solution

The third proportional to 183,870 and 288,927 is: 454,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,870 : 288,927 = 288,927 : x
  2. Step 2: Convert to fraction form
    183,870/288,927 = 288,927/x
  3. Step 3: Cross multiply
    183,870x = 288,927 × 288,927
  4. Step 4: Simplify right side
    183,870x = 83,478,811,329
  5. Step 5: Solve for x
    x = 83,478,811,329/183,870
  6. Step 6: Final answer
    x = 454,009.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.