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Finding the Third Proportional to 150,111 and 329,743.13

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Solution

The third proportional to 150,111 and 329,743.13 is: 724,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,111 : 329,743.13 = 329,743.13 : x
  2. Step 2: Convert to fraction form
    150,111/329,743.13 = 329,743.13/x
  3. Step 3: Cross multiply
    150,111x = 329,743.13 × 329,743.13
  4. Step 4: Simplify right side
    150,111x = 108,730,528,484.77
  5. Step 5: Solve for x
    x = 108,730,528,484.77/150,111
  6. Step 6: Final answer
    x = 724,334.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.