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Finding the Third Proportional to 158,294.25 and 346,609.13

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Solution

The third proportional to 158,294.25 and 346,609.13 is: 758,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,294.25 : 346,609.13 = 346,609.13 : x
  2. Step 2: Convert to fraction form
    158,294.25/346,609.13 = 346,609.13/x
  3. Step 3: Cross multiply
    158,294.25x = 346,609.13 × 346,609.13
  4. Step 4: Simplify right side
    158,294.25x = 120,137,885,533.27
  5. Step 5: Solve for x
    x = 120,137,885,533.27/158,294.25
  6. Step 6: Final answer
    x = 758,952.93

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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.