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Finding the Third Proportional to 196,869.75 and 305,419.50

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Solution

The third proportional to 196,869.75 and 305,419.50 is: 473,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,869.75 : 305,419.50 = 305,419.50 : x
  2. Step 2: Convert to fraction form
    196,869.75/305,419.50 = 305,419.50/x
  3. Step 3: Cross multiply
    196,869.75x = 305,419.50 × 305,419.50
  4. Step 4: Simplify right side
    196,869.75x = 93,281,070,980.25
  5. Step 5: Solve for x
    x = 93,281,070,980.25/196,869.75
  6. Step 6: Final answer
    x = 473,821.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.