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Finding the Third Proportional to 141,190 and 310,028

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Solution

The third proportional to 141,190 and 310,028 is: 680,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,190 : 310,028 = 310,028 : x
  2. Step 2: Convert to fraction form
    141,190/310,028 = 310,028/x
  3. Step 3: Cross multiply
    141,190x = 310,028 × 310,028
  4. Step 4: Simplify right side
    141,190x = 96,117,360,784
  5. Step 5: Solve for x
    x = 96,117,360,784/141,190
  6. Step 6: Final answer
    x = 680,766.07

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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.