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Finding the Third Proportional to 164,193.19 and 353,715.75

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Solution

The third proportional to 164,193.19 and 353,715.75 is: 761,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193.19 : 353,715.75 = 353,715.75 : x
  2. Step 2: Convert to fraction form
    164,193.19/353,715.75 = 353,715.75/x
  3. Step 3: Cross multiply
    164,193.19x = 353,715.75 × 353,715.75
  4. Step 4: Simplify right side
    164,193.19x = 125,114,831,798.06
  5. Step 5: Solve for x
    x = 125,114,831,798.06/164,193.19
  6. Step 6: Final answer
    x = 761,997.70

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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.