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Finding the Third Proportional to 164,955.75 and 353,239.50

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Solution

The third proportional to 164,955.75 and 353,239.50 is: 756,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,955.75 : 353,239.50 = 353,239.50 : x
  2. Step 2: Convert to fraction form
    164,955.75/353,239.50 = 353,239.50/x
  3. Step 3: Cross multiply
    164,955.75x = 353,239.50 × 353,239.50
  4. Step 4: Simplify right side
    164,955.75x = 124,778,144,360.25
  5. Step 5: Solve for x
    x = 124,778,144,360.25/164,955.75
  6. Step 6: Final answer
    x = 756,434.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.