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Finding the Third Proportional to 152,012.50 and 333,212

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Solution

The third proportional to 152,012.50 and 333,212 is: 730,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,012.50 : 333,212 = 333,212 : x
  2. Step 2: Convert to fraction form
    152,012.50/333,212 = 333,212/x
  3. Step 3: Cross multiply
    152,012.50x = 333,212 × 333,212
  4. Step 4: Simplify right side
    152,012.50x = 111,030,236,944
  5. Step 5: Solve for x
    x = 111,030,236,944/152,012.50
  6. Step 6: Final answer
    x = 730,402.02

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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.