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Finding the Third Proportional to 106,029 and 232,470

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Solution

The third proportional to 106,029 and 232,470 is: 509,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029 : 232,470 = 232,470 : x
  2. Step 2: Convert to fraction form
    106,029/232,470 = 232,470/x
  3. Step 3: Cross multiply
    106,029x = 232,470 × 232,470
  4. Step 4: Simplify right side
    106,029x = 54,042,300,900
  5. Step 5: Solve for x
    x = 54,042,300,900/106,029
  6. Step 6: Final answer
    x = 509,693.58

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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.