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Finding the Third Proportional to 152,098.50 and 352,095

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Solution

The third proportional to 152,098.50 and 352,095 is: 815,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098.50 : 352,095 = 352,095 : x
  2. Step 2: Convert to fraction form
    152,098.50/352,095 = 352,095/x
  3. Step 3: Cross multiply
    152,098.50x = 352,095 × 352,095
  4. Step 4: Simplify right side
    152,098.50x = 123,970,889,025
  5. Step 5: Solve for x
    x = 123,970,889,025/152,098.50
  6. Step 6: Final answer
    x = 815,069.77

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