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Finding the Third Proportional to 173,752.59 and 380,720.25

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Solution

The third proportional to 173,752.59 and 380,720.25 is: 834,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,752.59 : 380,720.25 = 380,720.25 : x
  2. Step 2: Convert to fraction form
    173,752.59/380,720.25 = 380,720.25/x
  3. Step 3: Cross multiply
    173,752.59x = 380,720.25 × 380,720.25
  4. Step 4: Simplify right side
    173,752.59x = 144,947,908,760.06
  5. Step 5: Solve for x
    x = 144,947,908,760.06/173,752.59
  6. Step 6: Final answer
    x = 834,220.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.