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Finding the Third Proportional to 147,379.50 and 346,430.25

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Solution

The third proportional to 147,379.50 and 346,430.25 is: 814,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,379.50 : 346,430.25 = 346,430.25 : x
  2. Step 2: Convert to fraction form
    147,379.50/346,430.25 = 346,430.25/x
  3. Step 3: Cross multiply
    147,379.50x = 346,430.25 × 346,430.25
  4. Step 4: Simplify right side
    147,379.50x = 120,013,918,115.06
  5. Step 5: Solve for x
    x = 120,013,918,115.06/147,379.50
  6. Step 6: Final answer
    x = 814,318.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.