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Finding the Third Proportional to 158,293.74 and 346,145.61

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Solution

The third proportional to 158,293.74 and 346,145.61 is: 756,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,293.74 : 346,145.61 = 346,145.61 : x
  2. Step 2: Convert to fraction form
    158,293.74/346,145.61 = 346,145.61/x
  3. Step 3: Cross multiply
    158,293.74x = 346,145.61 × 346,145.61
  4. Step 4: Simplify right side
    158,293.74x = 119,816,783,058.61
  5. Step 5: Solve for x
    x = 119,816,783,058.61/158,293.74
  6. Step 6: Final answer
    x = 756,926.88

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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.