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Finding the Third Proportional to 173,088 and 363,670.50

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Solution

The third proportional to 173,088 and 363,670.50 is: 764,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,088 : 363,670.50 = 363,670.50 : x
  2. Step 2: Convert to fraction form
    173,088/363,670.50 = 363,670.50/x
  3. Step 3: Cross multiply
    173,088x = 363,670.50 × 363,670.50
  4. Step 4: Simplify right side
    173,088x = 132,256,232,570.25
  5. Step 5: Solve for x
    x = 132,256,232,570.25/173,088
  6. Step 6: Final answer
    x = 764,098.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.