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Finding the Third Proportional to 147,495.09 and 223,237.69

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Solution

The third proportional to 147,495.09 and 223,237.69 is: 337,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,495.09 : 223,237.69 = 223,237.69 : x
  2. Step 2: Convert to fraction form
    147,495.09/223,237.69 = 223,237.69/x
  3. Step 3: Cross multiply
    147,495.09x = 223,237.69 × 223,237.69
  4. Step 4: Simplify right side
    147,495.09x = 49,835,065,120.35
  5. Step 5: Solve for x
    x = 49,835,065,120.35/147,495.09
  6. Step 6: Final answer
    x = 337,876.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.