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Finding the Third Proportional to 147,770 and 306,050

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Solution

The third proportional to 147,770 and 306,050 is: 633,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,770 : 306,050 = 306,050 : x
  2. Step 2: Convert to fraction form
    147,770/306,050 = 306,050/x
  3. Step 3: Cross multiply
    147,770x = 306,050 × 306,050
  4. Step 4: Simplify right side
    147,770x = 93,666,602,500
  5. Step 5: Solve for x
    x = 93,666,602,500/147,770
  6. Step 6: Final answer
    x = 633,867.51

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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.