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Finding the Third Proportional to 216,154.50 and 345,313.50

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Solution

The third proportional to 216,154.50 and 345,313.50 is: 551,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,154.50 : 345,313.50 = 345,313.50 : x
  2. Step 2: Convert to fraction form
    216,154.50/345,313.50 = 345,313.50/x
  3. Step 3: Cross multiply
    216,154.50x = 345,313.50 × 345,313.50
  4. Step 4: Simplify right side
    216,154.50x = 119,241,413,282.25
  5. Step 5: Solve for x
    x = 119,241,413,282.25/216,154.50
  6. Step 6: Final answer
    x = 551,649.00

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Why These Related Problems?

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