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Finding the Third Proportional to 226,730 and 468,148

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Solution

The third proportional to 226,730 and 468,148 is: 966,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,730 : 468,148 = 468,148 : x
  2. Step 2: Convert to fraction form
    226,730/468,148 = 468,148/x
  3. Step 3: Cross multiply
    226,730x = 468,148 × 468,148
  4. Step 4: Simplify right side
    226,730x = 219,162,549,904
  5. Step 5: Solve for x
    x = 219,162,549,904/226,730
  6. Step 6: Final answer
    x = 966,623.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.