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Finding the Third Proportional to 153,411.75 and 235,473.75

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Solution

The third proportional to 153,411.75 and 235,473.75 is: 361,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,411.75 : 235,473.75 = 235,473.75 : x
  2. Step 2: Convert to fraction form
    153,411.75/235,473.75 = 235,473.75/x
  3. Step 3: Cross multiply
    153,411.75x = 235,473.75 × 235,473.75
  4. Step 4: Simplify right side
    153,411.75x = 55,447,886,939.06
  5. Step 5: Solve for x
    x = 55,447,886,939.06/153,411.75
  6. Step 6: Final answer
    x = 361,431.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.