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Finding the Third Proportional to 164,980.50 and 359,580

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Solution

The third proportional to 164,980.50 and 359,580 is: 783,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,980.50 : 359,580 = 359,580 : x
  2. Step 2: Convert to fraction form
    164,980.50/359,580 = 359,580/x
  3. Step 3: Cross multiply
    164,980.50x = 359,580 × 359,580
  4. Step 4: Simplify right side
    164,980.50x = 129,297,776,400
  5. Step 5: Solve for x
    x = 129,297,776,400/164,980.50
  6. Step 6: Final answer
    x = 783,715.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.