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Finding the Third Proportional to 152,053.50 and 219,027.50

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Solution

The third proportional to 152,053.50 and 219,027.50 is: 315,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.50 : 219,027.50 = 219,027.50 : x
  2. Step 2: Convert to fraction form
    152,053.50/219,027.50 = 219,027.50/x
  3. Step 3: Cross multiply
    152,053.50x = 219,027.50 × 219,027.50
  4. Step 4: Simplify right side
    152,053.50x = 47,973,045,756.25
  5. Step 5: Solve for x
    x = 47,973,045,756.25/152,053.50
  6. Step 6: Final answer
    x = 315,501.10

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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.