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Finding the Third Proportional to 158,306.06 and 346,728.94

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Solution

The third proportional to 158,306.06 and 346,728.94 is: 759,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306.06 : 346,728.94 = 346,728.94 : x
  2. Step 2: Convert to fraction form
    158,306.06/346,728.94 = 346,728.94/x
  3. Step 3: Cross multiply
    158,306.06x = 346,728.94 × 346,728.94
  4. Step 4: Simplify right side
    158,306.06x = 120,220,956,099.88
  5. Step 5: Solve for x
    x = 120,220,956,099.88/158,306.06
  6. Step 6: Final answer
    x = 759,421.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.