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Finding the Third Proportional to 158,786.16 and 340,596.56

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Solution

The third proportional to 158,786.16 and 340,596.56 is: 730,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,786.16 : 340,596.56 = 340,596.56 : x
  2. Step 2: Convert to fraction form
    158,786.16/340,596.56 = 340,596.56/x
  3. Step 3: Cross multiply
    158,786.16x = 340,596.56 × 340,596.56
  4. Step 4: Simplify right side
    158,786.16x = 116,006,018,386.82
  5. Step 5: Solve for x
    x = 116,006,018,386.82/158,786.16
  6. Step 6: Final answer
    x = 730,580.18

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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.