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Finding the Third Proportional to 153,950.63 and 230,306.63

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Solution

The third proportional to 153,950.63 and 230,306.63 is: 344,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,950.63 : 230,306.63 = 230,306.63 : x
  2. Step 2: Convert to fraction form
    153,950.63/230,306.63 = 230,306.63/x
  3. Step 3: Cross multiply
    153,950.63x = 230,306.63 × 230,306.63
  4. Step 4: Simplify right side
    153,950.63x = 53,041,141,518.89
  5. Step 5: Solve for x
    x = 53,041,141,518.89/153,950.63
  6. Step 6: Final answer
    x = 344,533.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.