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Finding the Third Proportional to 226,250 and 468,159

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Solution

The third proportional to 226,250 and 468,159 is: 968,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,250 : 468,159 = 468,159 : x
  2. Step 2: Convert to fraction form
    226,250/468,159 = 468,159/x
  3. Step 3: Cross multiply
    226,250x = 468,159 × 468,159
  4. Step 4: Simplify right side
    226,250x = 219,172,849,281
  5. Step 5: Solve for x
    x = 219,172,849,281/226,250
  6. Step 6: Final answer
    x = 968,719.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.