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Finding the Third Proportional to 152,051.63 and 219,026.25

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Solution

The third proportional to 152,051.63 and 219,026.25 is: 315,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,051.63 : 219,026.25 = 219,026.25 : x
  2. Step 2: Convert to fraction form
    152,051.63/219,026.25 = 219,026.25/x
  3. Step 3: Cross multiply
    152,051.63x = 219,026.25 × 219,026.25
  4. Step 4: Simplify right side
    152,051.63x = 47,972,498,189.06
  5. Step 5: Solve for x
    x = 47,972,498,189.06/152,051.63
  6. Step 6: Final answer
    x = 315,501.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.