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Finding the Third Proportional to 216,157.50 and 345,316.50

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Solution

The third proportional to 216,157.50 and 345,316.50 is: 551,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,157.50 : 345,316.50 = 345,316.50 : x
  2. Step 2: Convert to fraction form
    216,157.50/345,316.50 = 345,316.50/x
  3. Step 3: Cross multiply
    216,157.50x = 345,316.50 × 345,316.50
  4. Step 4: Simplify right side
    216,157.50x = 119,243,485,172.25
  5. Step 5: Solve for x
    x = 119,243,485,172.25/216,157.50
  6. Step 6: Final answer
    x = 551,650.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.