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Finding the Third Proportional to 152,362 and 352,669

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Solution

The third proportional to 152,362 and 352,669 is: 816,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,362 : 352,669 = 352,669 : x
  2. Step 2: Convert to fraction form
    152,362/352,669 = 352,669/x
  3. Step 3: Cross multiply
    152,362x = 352,669 × 352,669
  4. Step 4: Simplify right side
    152,362x = 124,375,423,561
  5. Step 5: Solve for x
    x = 124,375,423,561/152,362
  6. Step 6: Final answer
    x = 816,315.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.