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Finding the Third Proportional to 106,473 and 232,818

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Solution

The third proportional to 106,473 and 232,818 is: 509,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,473 : 232,818 = 232,818 : x
  2. Step 2: Convert to fraction form
    106,473/232,818 = 232,818/x
  3. Step 3: Cross multiply
    106,473x = 232,818 × 232,818
  4. Step 4: Simplify right side
    106,473x = 54,204,221,124
  5. Step 5: Solve for x
    x = 54,204,221,124/106,473
  6. Step 6: Final answer
    x = 509,088.89

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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.