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Finding the Third Proportional to 152,350.88 and 352,643.63

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Solution

The third proportional to 152,350.88 and 352,643.63 is: 816,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,350.88 : 352,643.63 = 352,643.63 : x
  2. Step 2: Convert to fraction form
    152,350.88/352,643.63 = 352,643.63/x
  3. Step 3: Cross multiply
    152,350.88x = 352,643.63 × 352,643.63
  4. Step 4: Simplify right side
    152,350.88x = 124,357,526,253.14
  5. Step 5: Solve for x
    x = 124,357,526,253.14/152,350.88
  6. Step 6: Final answer
    x = 816,257.38

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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.