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Finding the Third Proportional to 165,038 and 240,501

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Solution

The third proportional to 165,038 and 240,501 is: 350,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,038 : 240,501 = 240,501 : x
  2. Step 2: Convert to fraction form
    165,038/240,501 = 240,501/x
  3. Step 3: Cross multiply
    165,038x = 240,501 × 240,501
  4. Step 4: Simplify right side
    165,038x = 57,840,731,001
  5. Step 5: Solve for x
    x = 57,840,731,001/165,038
  6. Step 6: Final answer
    x = 350,469.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.