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Finding the Third Proportional to 153,960 and 338,160

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Solution

The third proportional to 153,960 and 338,160 is: 742,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,960 : 338,160 = 338,160 : x
  2. Step 2: Convert to fraction form
    153,960/338,160 = 338,160/x
  3. Step 3: Cross multiply
    153,960x = 338,160 × 338,160
  4. Step 4: Simplify right side
    153,960x = 114,352,185,600
  5. Step 5: Solve for x
    x = 114,352,185,600/153,960
  6. Step 6: Final answer
    x = 742,739.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.