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Finding the Third Proportional to 216,159.50 and 345,320

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Solution

The third proportional to 216,159.50 and 345,320 is: 551,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,159.50 : 345,320 = 345,320 : x
  2. Step 2: Convert to fraction form
    216,159.50/345,320 = 345,320/x
  3. Step 3: Cross multiply
    216,159.50x = 345,320 × 345,320
  4. Step 4: Simplify right side
    216,159.50x = 119,245,902,400
  5. Step 5: Solve for x
    x = 119,245,902,400/216,159.50
  6. Step 6: Final answer
    x = 551,657.01

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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.