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Finding the Third Proportional to 216,178.88 and 345,347.06

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Solution

The third proportional to 216,178.88 and 345,347.06 is: 551,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178.88 : 345,347.06 = 345,347.06 : x
  2. Step 2: Convert to fraction form
    216,178.88/345,347.06 = 345,347.06/x
  3. Step 3: Cross multiply
    216,178.88x = 345,347.06 × 345,347.06
  4. Step 4: Simplify right side
    216,178.88x = 119,264,593,577.38
  5. Step 5: Solve for x
    x = 119,264,593,577.38/216,178.88
  6. Step 6: Final answer
    x = 551,694.02

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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.