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Finding the Third Proportional to 173,502 and 254,785.50

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Solution

The third proportional to 173,502 and 254,785.50 is: 374,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,502 : 254,785.50 = 254,785.50 : x
  2. Step 2: Convert to fraction form
    173,502/254,785.50 = 254,785.50/x
  3. Step 3: Cross multiply
    173,502x = 254,785.50 × 254,785.50
  4. Step 4: Simplify right side
    173,502x = 64,915,651,010.25
  5. Step 5: Solve for x
    x = 64,915,651,010.25/173,502
  6. Step 6: Final answer
    x = 374,149.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.