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Finding the Third Proportional to 173,068 and 375,660.25

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Solution

The third proportional to 173,068 and 375,660.25 is: 815,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,068 : 375,660.25 = 375,660.25 : x
  2. Step 2: Convert to fraction form
    173,068/375,660.25 = 375,660.25/x
  3. Step 3: Cross multiply
    173,068x = 375,660.25 × 375,660.25
  4. Step 4: Simplify right side
    173,068x = 141,120,623,430.06
  5. Step 5: Solve for x
    x = 141,120,623,430.06/173,068
  6. Step 6: Final answer
    x = 815,405.64

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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.