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Finding the Third Proportional to 233,769 and 333,138

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Solution

The third proportional to 233,769 and 333,138 is: 474,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,769 : 333,138 = 333,138 : x
  2. Step 2: Convert to fraction form
    233,769/333,138 = 333,138/x
  3. Step 3: Cross multiply
    233,769x = 333,138 × 333,138
  4. Step 4: Simplify right side
    233,769x = 110,980,927,044
  5. Step 5: Solve for x
    x = 110,980,927,044/233,769
  6. Step 6: Final answer
    x = 474,746.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.