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Finding the Third Proportional to 70,488 and 146,806.50

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Solution

The third proportional to 70,488 and 146,806.50 is: 305,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488 : 146,806.50 = 146,806.50 : x
  2. Step 2: Convert to fraction form
    70,488/146,806.50 = 146,806.50/x
  3. Step 3: Cross multiply
    70,488x = 146,806.50 × 146,806.50
  4. Step 4: Simplify right side
    70,488x = 21,552,148,442.25
  5. Step 5: Solve for x
    x = 21,552,148,442.25/70,488
  6. Step 6: Final answer
    x = 305,756.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.