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Finding the Third Proportional to 153,537.75 and 333,298.13

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Solution

The third proportional to 153,537.75 and 333,298.13 is: 723,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,537.75 : 333,298.13 = 333,298.13 : x
  2. Step 2: Convert to fraction form
    153,537.75/333,298.13 = 333,298.13/x
  3. Step 3: Cross multiply
    153,537.75x = 333,298.13 × 333,298.13
  4. Step 4: Simplify right side
    153,537.75x = 111,087,640,128.52
  5. Step 5: Solve for x
    x = 111,087,640,128.52/153,537.75
  6. Step 6: Final answer
    x = 723,520.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.