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Finding the Third Proportional to 165,435 and 350,370

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Solution

The third proportional to 165,435 and 350,370 is: 742,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,435 : 350,370 = 350,370 : x
  2. Step 2: Convert to fraction form
    165,435/350,370 = 350,370/x
  3. Step 3: Cross multiply
    165,435x = 350,370 × 350,370
  4. Step 4: Simplify right side
    165,435x = 122,759,136,900
  5. Step 5: Solve for x
    x = 122,759,136,900/165,435
  6. Step 6: Final answer
    x = 742,038.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.