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Finding the Third Proportional to 191,282.63 and 418,923

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Solution

The third proportional to 191,282.63 and 418,923 is: 917,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,282.63 : 418,923 = 418,923 : x
  2. Step 2: Convert to fraction form
    191,282.63/418,923 = 418,923/x
  3. Step 3: Cross multiply
    191,282.63x = 418,923 × 418,923
  4. Step 4: Simplify right side
    191,282.63x = 175,496,479,929
  5. Step 5: Solve for x
    x = 175,496,479,929/191,282.63
  6. Step 6: Final answer
    x = 917,472.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.