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Finding the Third Proportional to 152,756.69 and 231,101.06

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Solution

The third proportional to 152,756.69 and 231,101.06 is: 349,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,756.69 : 231,101.06 = 231,101.06 : x
  2. Step 2: Convert to fraction form
    152,756.69/231,101.06 = 231,101.06/x
  3. Step 3: Cross multiply
    152,756.69x = 231,101.06 × 231,101.06
  4. Step 4: Simplify right side
    152,756.69x = 53,407,701,088.63
  5. Step 5: Solve for x
    x = 53,407,701,088.63/152,756.69
  6. Step 6: Final answer
    x = 349,625.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.