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Finding the Third Proportional to 155,923.69 and 335,140.13

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Solution

The third proportional to 155,923.69 and 335,140.13 is: 720,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,923.69 : 335,140.13 = 335,140.13 : x
  2. Step 2: Convert to fraction form
    155,923.69/335,140.13 = 335,140.13/x
  3. Step 3: Cross multiply
    155,923.69x = 335,140.13 × 335,140.13
  4. Step 4: Simplify right side
    155,923.69x = 112,318,903,385.02
  5. Step 5: Solve for x
    x = 112,318,903,385.02/155,923.69
  6. Step 6: Final answer
    x = 720,345.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.