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Finding the Third Proportional to 216,159.75 and 345,319.50

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Solution

The third proportional to 216,159.75 and 345,319.50 is: 551,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,159.75 : 345,319.50 = 345,319.50 : x
  2. Step 2: Convert to fraction form
    216,159.75/345,319.50 = 345,319.50/x
  3. Step 3: Cross multiply
    216,159.75x = 345,319.50 × 345,319.50
  4. Step 4: Simplify right side
    216,159.75x = 119,245,557,080.25
  5. Step 5: Solve for x
    x = 119,245,557,080.25/216,159.75
  6. Step 6: Final answer
    x = 551,654.77

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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.