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Finding the Third Proportional to 158,520 and 340,095

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Solution

The third proportional to 158,520 and 340,095 is: 729,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,520 : 340,095 = 340,095 : x
  2. Step 2: Convert to fraction form
    158,520/340,095 = 340,095/x
  3. Step 3: Cross multiply
    158,520x = 340,095 × 340,095
  4. Step 4: Simplify right side
    158,520x = 115,664,609,025
  5. Step 5: Solve for x
    x = 115,664,609,025/158,520
  6. Step 6: Final answer
    x = 729,653.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.