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Finding the Third Proportional to 153,320 and 335,851

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Solution

The third proportional to 153,320 and 335,851 is: 735,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,320 : 335,851 = 335,851 : x
  2. Step 2: Convert to fraction form
    153,320/335,851 = 335,851/x
  3. Step 3: Cross multiply
    153,320x = 335,851 × 335,851
  4. Step 4: Simplify right side
    153,320x = 112,795,894,201
  5. Step 5: Solve for x
    x = 112,795,894,201/153,320
  6. Step 6: Final answer
    x = 735,689.37

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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.