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Finding the Third Proportional to 164,477.50 and 341,883.50

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Solution

The third proportional to 164,477.50 and 341,883.50 is: 710,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,477.50 : 341,883.50 = 341,883.50 : x
  2. Step 2: Convert to fraction form
    164,477.50/341,883.50 = 341,883.50/x
  3. Step 3: Cross multiply
    164,477.50x = 341,883.50 × 341,883.50
  4. Step 4: Simplify right side
    164,477.50x = 116,884,327,572.25
  5. Step 5: Solve for x
    x = 116,884,327,572.25/164,477.50
  6. Step 6: Final answer
    x = 710,640.22

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.