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Finding the Third Proportional to 147,771 and 306,052.50

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Solution

The third proportional to 147,771 and 306,052.50 is: 633,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,771 : 306,052.50 = 306,052.50 : x
  2. Step 2: Convert to fraction form
    147,771/306,052.50 = 306,052.50/x
  3. Step 3: Cross multiply
    147,771x = 306,052.50 × 306,052.50
  4. Step 4: Simplify right side
    147,771x = 93,668,132,756.25
  5. Step 5: Solve for x
    x = 93,668,132,756.25/147,771
  6. Step 6: Final answer
    x = 633,873.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.