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Finding the Third Proportional to 196,802.50 and 313,304.50

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Solution

The third proportional to 196,802.50 and 313,304.50 is: 498,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,802.50 : 313,304.50 = 313,304.50 : x
  2. Step 2: Convert to fraction form
    196,802.50/313,304.50 = 313,304.50/x
  3. Step 3: Cross multiply
    196,802.50x = 313,304.50 × 313,304.50
  4. Step 4: Simplify right side
    196,802.50x = 98,159,709,720.25
  5. Step 5: Solve for x
    x = 98,159,709,720.25/196,802.50
  6. Step 6: Final answer
    x = 498,772.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.