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Finding the Third Proportional to 164,259 and 353,056.50

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Solution

The third proportional to 164,259 and 353,056.50 is: 758,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,259 : 353,056.50 = 353,056.50 : x
  2. Step 2: Convert to fraction form
    164,259/353,056.50 = 353,056.50/x
  3. Step 3: Cross multiply
    164,259x = 353,056.50 × 353,056.50
  4. Step 4: Simplify right side
    164,259x = 124,648,892,192.25
  5. Step 5: Solve for x
    x = 124,648,892,192.25/164,259
  6. Step 6: Final answer
    x = 758,855.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.