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Finding the Third Proportional to 142,050.94 and 315,632.81

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Solution

The third proportional to 142,050.94 and 315,632.81 is: 701,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050.94 : 315,632.81 = 315,632.81 : x
  2. Step 2: Convert to fraction form
    142,050.94/315,632.81 = 315,632.81/x
  3. Step 3: Cross multiply
    142,050.94x = 315,632.81 × 315,632.81
  4. Step 4: Simplify right side
    142,050.94x = 99,624,072,326.66
  5. Step 5: Solve for x
    x = 99,624,072,326.66/142,050.94
  6. Step 6: Final answer
    x = 701,326.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.