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Finding the Third Proportional to 197,076 and 305,734.50

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Solution

The third proportional to 197,076 and 305,734.50 is: 474,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,076 : 305,734.50 = 305,734.50 : x
  2. Step 2: Convert to fraction form
    197,076/305,734.50 = 305,734.50/x
  3. Step 3: Cross multiply
    197,076x = 305,734.50 × 305,734.50
  4. Step 4: Simplify right side
    197,076x = 93,473,584,490.25
  5. Step 5: Solve for x
    x = 93,473,584,490.25/197,076
  6. Step 6: Final answer
    x = 474,302.22

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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.