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Finding the Third Proportional to 159,034.50 and 245,929.50

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Solution

The third proportional to 159,034.50 and 245,929.50 is: 380,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,034.50 : 245,929.50 = 245,929.50 : x
  2. Step 2: Convert to fraction form
    159,034.50/245,929.50 = 245,929.50/x
  3. Step 3: Cross multiply
    159,034.50x = 245,929.50 × 245,929.50
  4. Step 4: Simplify right side
    159,034.50x = 60,481,318,970.25
  5. Step 5: Solve for x
    x = 60,481,318,970.25/159,034.50
  6. Step 6: Final answer
    x = 380,303.14

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